Simultaneous determination of unknown two parameters in parabolic equation

International Journal of Applied Mathematics and Computation

Baiyu Wang²  Wei Liu¹  Anping Liao² 

[1] Changsha University$$;Hunan University$$

关键词: Inverse problem;    Parabolic equations;    Additional specification;    Parameter identification;    Finite difference method;   

DOI  :  10.0000/ijamc.2012.4.3.383

来源: PSIT Kanpur

【 摘 要 】

This paper is concerned with the inverse problem of determining twoparameters simultaneously in parabolic equation subject to theoverdeteminations of the solution at special points along with theusual initial boundary conditions, and the unknown parameters areonly time-dependent. The method of using some transformations of theproblem and finite difference method are used to solve the problem.Numerical examples with the method indicate that the accurateestimates of the unknown parameters can be obtained even in thepresence of noise in the data.

【 授权许可】

Unknown