How can i remove singular Jacobin error from this code?

25 visualizaciones (últimos 30 días)
Sharqa
Sharqa el 12 de Nov. de 2024
Respondida: Sandeep Mishra el 25 de Nov. de 2024 a las 11:55
william()
k2 = 40
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
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dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
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dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
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<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
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dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
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dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
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dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
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dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
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dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 0 NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0.1490 0 NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 -0.1490 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 0 NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 0 NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-33 * 0 NaN NaN 0 -0.1807
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * -0.1490 NaN NaN 0 -0.0000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
1.0e-13 * 0 NaN NaN 0.1490 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
dydx = 5×1
0 NaN NaN 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
Error using bvp4c (line 196)
Unable to solve the collocation equations -- a singular Jacobian encountered.

Error in solution>william (line 42)
sol1 = bvp4c(@williamode,@williambc,solinit,options,w,Ha,Re,angle_degrees,E,Pr,phi1,phi2,rof,ro1,ro2,rocpf,rocp1,rocp2,kf,k1,k2,sigmaf,sigma1,sigma2);
function william
clc
clear all format long
w=1; %wlmsn
Ha=0.1;
Re=0.4;
angle_degrees=0.1; %omega N,a,Ha,Re,angle_degrees,E,Pr
E=0.1; %Ec
Pr=0.2; %0.01
phi1=0.001;%0.02,0.03
phi2=0.001;%0.03,0.2
rof=997.1;
ro1=8933;
ro2=3970;
rocpf=4179;
rocp1= 385;
rocp2= 765;
kf=0.613;
k1=401;
k2=40
sigmaf=0.05;
sigma1=5.96*10^7;
sigma2=3.69*10^7;
A1=(phi2*rocp2)/rocpf+ (1-phi2)*((1-phi1)+(rocp1*phi1)/rocpf);
A2=((1-phi2)*((1-phi1)+(ro1*phi1)/rof)+(ro2*phi2)/rof);
A= ((sigma1*(1-2*(phi1)) + 2*sigmaf*(1-phi1))/(sigma1*(1-phi1) + 2*sigmaf*(1+phi1))); %sigmaf
A3=((sigma2*(1+2*(phi2))+2*(1-phi2)*A)/(sigma2*(1-phi2)+(2+phi2)*A))*A;
%A3=((sigma2+2*(1-phi2)*(sigma1 + 2*sigmaf - 2*phi1*(sigmaf - sigma1)) * sigmaf / (sigma1 + 2*sigmaf + phi1 * (sigmaf - sigma1))+2*phi2*sigma2)*(sigma1 + 2*sigmaf - 2*phi1*(sigmaf - sigma1)) * sigmaf / (sigma1 + 2*sigmaf + phi1 * (sigmaf - sigma1)))/(sigma2+2*(1+phi2)*(sigma1 + 2*sigmaf - 2*phi1*(sigmaf - sigma1)) * sigmaf / (sigma1 + 2*sigmaf + phi1 * (sigmaf - sigma1))-phi2*sigma2);
A4=((1-phi1)^-2.5)*((1-phi2)^-2.5); %meuf
A5=(((2 * (1 + phi1) * (2 * kf - 2 * phi2 * (k2 - kf) + k2)) / (2 * kf + phi2 * (k2 - kf) + k2) + ((1 - 2 * phi1) * k1) / kf) / (2 - phi1)) * ((2 * kf - 2 * phi2 * (k2 - kf) + k2) / (2 * kf + phi2 * (k2 - kf) + k2)) + ((1 + phi1) * k1) / kf;
infinity=1;
solinit = bvpinit(linspace(0,infinity,20),zeros(5,1));
options=bvpset('Stats','on','RelTol',1e-6);
lines={'k','r','g','m','k--','r--','g--','b--','y','m','k','b'};
Ha=0.1;
sol1 = bvp4c(@williamode,@williambc,solinit,options,w,Ha,Re,angle_degrees,E,Pr,phi1,phi2,rof,ro1,ro2,rocpf,rocp1,rocp2,kf,k1,k2,sigmaf,sigma1,sigma2);
Ha=0.3;
sol2 =bvp4c(@williamode,@williambc,solinit,options,w,Ha,Re,angle_degrees,E,Pr,phi1,phi2,rof,ro1,ro2,rocpf,rocp1,rocp2,kf,k1,k2,sigmaf,sigma1,sigma2);
Ha=0.5;
sol3 =bvp4c(@williamode,@williambc,solinit,options,w,Ha,Re,angle_degrees,E,Pr,phi1,phi2,rof,ro1,ro2,rocpf,rocp1,rocp2,kf,k1,k2,sigmaf,sigma1,sigma2);
Ha=0.7;
sol4= bvp4c(@williamode,@williambc,solinit,options,w,Ha,Re,angle_degrees,E,Pr,phi1,phi2,rof,ro1,ro2,rocpf,rocp1,rocp2,kf,k1,k2,sigmaf,sigma1,sigma2);
figure(1);
plot(sol1.x,sol1.y(1,:),lines{1},sol2.x,sol2.y(1,:),lines{2},sol3.x,sol3.y(1,:),lines{3},sol4.x,sol4.y(1,:),lines{4},'LineWidth',3,'MarkerSize',16,'linestyle','-');
xlabel('\zeta','Interpreter','tex','FontSize',16,'FontWeight','bold');
ylabel('\eta','Interpreter','tex','FontSize',16,'FontWeight','bold');
grid on
hold on
figure(2);
plot(sol1.x,sol1.y(4,:),lines{1},sol2.x,sol2.y(4,:),lines{2},sol3.x,sol3.y(4,:),lines{3},sol4.x,sol4.y(4,:),lines{4},'LineWidth',3,'MarkerSize',16,'linestyle','-');
xlabel('\zeta','Interpreter','tex','FontSize',16,'FontWeight','bold');
ylabel('\kappa','Interpreter','tex','FontSize',16,'FontWeight','bold');
grid on
hold on
y1 = sol1.y;
y2 = sol2.y;
function dydx = williamode(x,y,w,Ha,Re,angle_degrees,E,Pr,phi1,phi2,rof,ro1,ro2,rocpf,rocp1,rocp2,kf,k1,k2,sigmaf,sigma1,sigma2)
dydx =zeros(5,1);
dydx = [y(2)
y(3)
%-(sqrt((2*y(1)*angle_degrees)^2 + y(2)^2) / (sqrt((2*y(1)*angle_degrees)^2 + y(2)^2) + w * (2 * y(2)^2 + 4 * y(1)^2 * angle_degrees^2))) * (2 * angle_degrees * Re * A2 * (1 - phi1)^2.5 * (1 - phi2)^2.5 * y(1) * y(2)+(4-A3*(1-phi1)^2.5*(1-phi2)^2.5*(Ha)^2)*y(2)*angle_degrees^2+(w*(sqrt(2*y(1)*angle_degrees)^2+y(2)^2)*((16*y(1)^3*angle_degrees^4*+8*y(1)*y(2)^2*angle_degrees^2+2*y(2)^2*y(3)+4*y(1)^2*y(3)*angle_degrees^2)/(4*y(1)*y(2)*angle_degrees^2+y(2)*y(3))+(1/((2*y(1)*angle_degrees)^2*+y(2)^2))*(80*y(1)^2*y(2)*angle_degrees^4+32*y(1)*y(2)*y(3)*angle_degrees^2+8*y(2)^3*angle_degrees^2+4*y(2)*y(3)^2)));
-(sqrt((2*y(1)*angle_degrees)^2+y(2)^2)/((sqrt((2*y(1)*angle_degrees)^2+y(2)^2))+w*(2*y(2)^2+4*y(1)^2*angle_degrees^2)))*(2*angle_degrees*Re*A2*(1-phi1)^2.5*(1-phi2)^2.5*y(1)*y(2)+(4-A3*(1-phi1)^2.5*(1-phi2)^2.5*(Ha)^2)*y(2)*angle_degrees^2+((w*(sqrt(2*y(1)*angle_degrees)^2+y(2)^2))*((16*y(1)^3*angle_degrees^4*+8*y(1)*y(2)^2*angle_degrees^2+2*y(2)^2*y(3)+4*y(1)^2*y(3)*angle_degrees^2)/(4*y(1)*y(2)*angle_degrees^2+y(2)*y(3)))+((1/((2*y(1)*angle_degrees)^2*+y(2)^2))*(80*y(1)^2*y(2)*angle_degrees^4+32*y(1)*y(2)*y(3)*angle_degrees^2+8*y(2)^3*angle_degrees^2+4*y(2)*y(3)^2))))
%-(sqrt((2 * y(1) * angle_degrees)^2 + y(2)^2) /(sqrt((2 * y(1) * angle_degrees)^2 + y(2)^2) + w * (2 * y(2)^2 + 4 * y(1)^2 * angle_degrees^2)))*(2*angle_degrees *Re*A2*(1 - phi1)^2.5*(1 - phi2)^2.5 * y(1) * y(2) +(4 - A3 * (1 - phi1)^2.5 * (1 - phi2)^2.5 * (Ha)^2) * y(2) * angle_degrees^2 +((w * (sqrt(2 * y(1) * angle_degrees)^2 + y(2)^2)) *((16 * y(1)^3 * angle_degrees^4 + 8 * y(1) * y(2)^2 * angle_degrees^2 + 2 * y(2)^2 * y(3) +4 * y(1)^2 * y(3) * angle_degrees^2) /(4 * y(1) * y(2) * angle_degrees^2 + y(2) * y(3)) +((1 / ((2 * y(1) * angle_degrees)^2 + y(2)^2)) *(80 * y(1)^2 * y(2) * angle_degrees^4 + 32 * y(1) * y(2) * y(3) * angle_degrees^2+8 * y(2)^3 * angle_degrees^2 + 4 * y(2) * y(3)^2)));
y(5)
(-1/A5)*((E*Pr*A1)/(1-phi1)^2.5*(1-phi2)^2.5)*((4*y(1)^2*angle_degrees^2+y(2)^2)+w*((4*y(1)^2*angle_degrees^2+y(2)^2)^3/2))]
end
function res = williambc(ya,yb,w,Ha,Re,angle_degrees,E,Pr,phi1,phi2,~,ro1,ro2,rocpf,rocp1,rocp2,kf,k1,k2,sigmaf,sigma1,sigma2)
res =[ya(1)-1;
ya(2);
ya(5);
yb(1);
yb(4)-1;];
hold on
end
grid on
end
  1 comentario
Torsten
Torsten el 12 de Nov. de 2024
As long as you get NaN values inside the dydx-vector, bvp4c won't succeed.
A starting point for changes in your code is to observe that you divide by y(1) to compute dydx(3), but that the initial value for y(1) is set to 0.

Iniciar sesión para comentar.

Respuestas (1)

Sandeep Mishra
Sandeep Mishra el 25 de Nov. de 2024 a las 11:55
Hi Sharqa,
I encountered a similar error when running the provided code snippet in MATLAB R2024b.
In the given code snippet, a 5x1 zero vector is being passed as the initial guess for the solution, which is leading to the occurrence of 'NaN' values in the 'dydx' variable.
To resolve the issue, you can modify the initial guess for the solution to more appropriate values.
Refer to the following example code snippet to initialize the initial guess values:
solinit = bvpinit(linspace(0,infinity,20),[12; 10; 1; 7; 4]);
Refer to the following MathWorks Documentation to learn more about ‘bvp4cfunction:
I hope this helps!

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