How can I find the Numerical Solution of the fourth order PDE?

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Here are the PDE, Initial and Boundary conditions:
I found the analytical solution using the Separation of variables method. I am trouble having finding the Numerical Solution. How can I do this in MATLAB?
  1 个评论
Torsten
Torsten 2017-12-18
By writing your equation as a system of two equations
du/dt = v
dv/dt = -d^4u/dx^4,
discretizing the spatial derivative and solving the resulting system of ordinary differential equations using ODE15S.
Best wishes
Torsten.

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