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Question: Maple code procedure to solve wave equation

Question:Maple code procedure to solve wave equation

MOSO1401 20 Maple 16
October 01 2013
1

Hello All 

I looking to write Maple code procedure to solve this equation 

restart;
with(PDEtools):
with(plots):
with(LinearAlgebra):
pde := diff(psi(t,x),t,t) - diff(psi(t,x),x,x) + V(x)*psi(t,x);

where V(x)->x^2;

I have to use this stencil 

u[i+1,j]=-u[i-1,j1]+(1-1/8*h^2*v[i-1])*u[i,j-1]+(1-1/8*h^2*v[i+1])*u[i,j+1]; where i is spatial step and j is time step

Thanks 

 
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