Recent content by Zimbalj

The equation is left unsolved, but that is not a big deal. Thanks everyone for insights, it will be helpful in future, because I will try to solve some other similar equations.

Thanks. I tried Laplace transform L[U(x,t)]=V(x,s) and got: Vxx-s/D*V=0 sorry for my bad writing of formulas, i am new at LaTeX. With problematic boundary condition getting form V(0,s)=A(s)

Thanks, i will. Although at 16.1 they give solution to wave equation, i think i may use this method for my diffusion equation, i will try.

The problem is boundary condition that is time dependent: U(0,t)=a(t) With constant boundary condition i get analytical solution relatively easy, but with time dependent boundary condition i always get that some of the integration constants are functions of t which is not right Lets say...

November 2020 does have diffusion equation problem, but i do not know how to use any of information there to solve my problem. Soluton on picturem from the book is the case that mostly resembles my problem, but again i need boundary condition U(L,t)=b(t), instead i have flux that equals zero at...

Standard method of separation by variables does not match up nicely with boundary conditions. I have seen methods for solving inhomogeneous heat equation using green functions, but that again failed, because it required knowledge of U(L,t) which was not given by any condition

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.