Analytic and numerical solution of coupled implicit semi-infinite diffusion problems

This paper deals with singular coupled implicit semi-infinite mixed diffusion problems. By application of the sine Fourier transform, existence conditions and an analytic closed form solution is first obtained. Given an admissible error and a rectangular bounded closed domain, analytic numerical approximations whose error with respect to the exact solution is less than the admissible error in the bounded domain are constructed. An algorithm and an illustrative example are included. (C) 2001 Elsevier Science Ltd. All rights reserved.