Solving boundary layer problems using matlab numerically
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Actually i am solving the set of nonlinear ode in matlab with bvp4c solver. For example, the governing eqns are $$ s''(\eta)-\theta'(\eta)+Nr*f'(\eta)=0,$$ $$\theta''(\eta)+s(\eta)*\theta(\eta)+Nt*f'(\eta)*\theta'(\eta)+Nb*(\theta'(\eta))^2 =0 $$ $$f''(\eta)-(Nb/Nt)*s'(\eta)=0 $$ with the asymptotic boundary conditions $$s(0)=0, \theta(0)=1, f(0)=1$$ $$s'(\infty)=0,\theta(\infty)=0, f(\infty)=0$$ After solving these equations with bvp solver i plotted the graphs of $s,s',\theta,f $ versus $\eta$. But i need to plot the graphs of $s,s',\theta,f$ versus each parameter $Nr,Nt,Nb$. How will i put the command in bvp4c command for this. I tried in some other way like loop for $Nr$ in that bvp block. The loop takes only first value of $Nr$. If you know to plot some other way help me. thanks.
3 comentarios
Walter Roberson
el 24 de En. de 2012
To be honest, those equations are unreadable.
Prakash Dhanapal
el 24 de En. de 2012
Walter Roberson
el 24 de En. de 2012
I would have to study LaTeX first before I could understand those equations. How about you convert them to graphical form and post the mathematical typeset version of the equations to a site such as tinypic ?
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