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

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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.

论文关键词:Parabolic equation,Inverse problem,Unknown coefficients,Finite-difference method,Numerical procedure

论文评审过程:Available online 28 October 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.04.112