Title

Numerical Procedures For The Determination Of An Unknown Coefficient In Semi-Linear Parabolic Differential Equations

Abstract

We consider a finite difference approximation to an inverse problem of determining an unknown source parameter p(t) which is a coefficient of the solution u in a linear parabolic equation subject to the specification of the solution u at an internal point along with the usual initial boundary conditions. The backward Euler scheme is studied and its convergence is proved via an application of the discrete maximum principle for a transformed problem. Error estimates For u and p involve numerical differentiation of the approximation to the transformed problem. Some experimental numerical results using the newly proposed numerical procedure are discussed. © 1994 IOP Publishing Ltd.

Publication Date

1-1-1994

Publication Title

Inverse Problems

Volume

10

Issue

2

Number of Pages

227-243

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0266-5611/10/2/004

Socpus ID

0000293752 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0000293752

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