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- TL;DR Summary
- By which method could i analytically solve Diffusion Equation with this boundary conditions:

U=U(x,t)

Ut=DUxx; 0<=x<=L, t>0

U(x,0)=0 0<x<=L

U(0,t)=a(t); t>0 *a(t) is known function*

(dU/dx)=0 for x=L

I have looked into many ways but not one is usable for diffusion equation with this boundary conditions.

Ut=DUxx; 0<=x<=L, t>0

U(x,0)=0 0<x<=L

U(0,t)=a(t); t>0 *a(t) is known function*

(dU/dx)=0 for x=L

I have looked into many ways but not one is usable for diffusion equation with this boundary conditions.