Obtain the solution of the diffusion equation, u(t,x)
a) satisfying the boundary conditions:
u(t,0)=u1, u(t,l)=u2, u(0,x)=u1+(u2-u1)x/l+a.sin(n[tex]\pi[/tex]x/l);
b) in the semi-plane x > 0, with u(t,0)=u0+a.sin([tex]\omega[/tex]t).
Wish I knew...
The Attempt at a Solution
I haven't done none because I don't know where to start. I just want to ask what should I study to solve this problem. I have Riley's "Mathematical Methods for Physics and Engineering" and Zill's "Advanced Engineering Mathematics". If you have and can point me out the chapters, I would be much appreciated, or you can just tell me the subjects, that I'll try and look for them in the books.