solving second order differential equation for 1D wave with parameter by shooting method

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Gabriela
Gabriela 2023-6-29
评论： Gabriela 2023-6-29
Hi I really need help writing a MATLAB code that uses the shooting method to integrate d^2f/dx^2 = -(w^2)*y/180,625 while improving the parameter w by (w_n+1)^2 = (w_n)^2 -f((w_n)^2)/[Delta*f/Delta*w^2 @w_n]. My initial guess is w0=1,570.79645. I'm struggling with turning my second order differential equation into a first order to solve in MATLAB while also integrating with parameter w that improves with each iteration.
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Torsten
Torsten 2023-6-29
编辑：Torsten 2023-6-29
You can't have only two boundary conditions (f(0) = f(L) = 0) in a second-order differential equation with an unknown parameter omega . You must have three.
Is this an eigenvalue problem ? Something similar to this example:
https://uk.mathworks.com/help/matlab/math/solve-bvp-with-unknown-parameter.html
?

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Mudit Kumar Bhugari

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