Boundary Conditions Finite Fourier Transform Definition
From the PDE shown above I am trying to solve it using the finite cosine fourier transform.
When applying the finite fourier cosine transform I get the ODE with conditions shown above U_{tttt} + (n^4)*U = 0
however I cannot seem to find a way to solve this, then apply the reverse finite cosine fourier transform and get the solution as shown in the picture above. A method or ideas to find out would be most helpful