Numerical procedure for the simultaneous determination of unknown coefficients in a parabolic equation

摘要

A numerical procedure for an inverse problem of simultaneously determining unknown coefficients in a linear parabolic equation subject to the specifications of the solution at internal points along with the usual initial boundary conditions is considered. By using some transformation the problem is reformulated to nonlocal parabolic problem. Some numerical examples using the proposed numerical procedure are presented. (c) 2004 Published by Elsevier Inc.