Exact solution of mixed problems for variable coefficient one-dimensional diffusion equation

✍ Scribed by L. Jódar; J. Pérez

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 349 KB
• Volume: 41
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00313-8

✦ Synopsis

This paper deals with diffusion problems modeled by the equation a(t)u=x = ut, x > 0, t > O, u(x, O) = c(x) together with the boundary condition u(0, t) = b(t) or ux(O, t) = b(t). By using Fourier transforms, existence conditions and exact solutions of the above mixed problems are given.