Solving Phi with finite difference method in Matlab

[lohanlotter]

I have a question which states that I have to solve Phi using the finite difference method in matlab.

Phi = Phi_infinity - Phi_t

where Phi_infinity = 1 - e^2

and Phi_t = A(t).B(e)

A has the differential for dA/dt = -c^2. A
and B 1/e.d/de(edB/de)=-c^2.B

where e is a separation constant.

I know the boundary and initial condition
at t = 0 Phi = 0
at e = 0 Phi = 1
at e = 1 Phi = 0

Please help I don't know where to start

 

[LawrenceC]

What was the original problem? Separation of variables in order to solve the Fourier equation in one dimension? Initial condition of zero everywhere in domain. Then Dirichlet boundary condition at one end to cause the transcience?