Using the Shooting Method
12 visualizaciones (últimos 30 días)
Mostrar comentarios más antiguos
Hi all,
I'm looking to solve the following system of equations with boundary conditions using the shooting method:
F''=F^2-G^2+F'H
G''=2FG+G'H
H'=-2F
along with the conditions F(0)=0, G(0)=1, H(0)=0, F(infinity)=0, G(infinity)=0.
I've found the solution using the BVP4C solver but need to also be able to find the solution using the shooting method.
I'm really quite new to MATLAB and don't really know where to start!
Any help anyone can give me would be greatly appreciated. Thanks!
0 comentarios
Respuestas (1)
Titus Edelhofer
el 30 de Oct. de 2012
The first thing to do is independent of the programming: reformulate your second order system by a (larger) first order system. Once you have that, use e.g. ode45 to solve it.
Titus
4 comentarios
Titus Edelhofer
el 2 de Nov. de 2012
If you have two unknowns I would use e.g. fminsearch where your objective function is the error (quadratic difference) between the target (coming from the "other" boundary condition) and the values you get at the end of the shoot (via ode45).
Ver también
Categorías
Más información sobre Ordinary Differential Equations en Help Center y File Exchange.
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!