how do I solve this pde with a loop?

hello everyone,

I have a pde like this:

in which w, D, and h0 are constants, i can give them kown values, and I want use a loop value for Kfi,Kff, Kf and lamda to solve h(x,t), so what can I do? THANKES!!

Also, the initial condition is h(x,0)=15, and the boundary condition is h(D,t)=h0

[Torsten]

And what is the boundary condition at x=0 ?

Use MATLAB's "pdepe" to solve.