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

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