Using the Shooting Method

8 次查看（过去 30 天）

显示更早的评论

pxg882 2012-10-30

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/52280-using-the-shooting-method

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!

回答（1 个）

Titus Edelhofer 2012-10-30

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/52280-using-the-shooting-method#answer_63724

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

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).

pxg882 2012-11-8