Solving System of Equations w/MATLAB Shooting Method

[Juggler123]

Hi all,

I'm looking to solve the following system of equations with boundary conditions using the shooting method in MATLAB:

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 want to also be able to find the solution using the shooting method as well.

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!

 

[NateD]

</code>You can solve this system of equations using the shooting method in MATLAB. The idea behind the shooting method is to first solve the system of equations for some initial conditions, then try to adjust the initial conditions until the desired boundary conditions are met. To get started, you'll need to create a MATLAB function that contains the equations as well as their derivatives. This can be done using the symbolic toolbox. Then, you'll need to set up an initial guess for the initial conditions and use the ode45 solver to solve the system of equations. Finally, you'll need to adjust the initial guesses and repeat the process until the desired boundary conditions are met.I hope this helps! Good luck!