The TTF Method for the Inverse Problem of Finding Unknown Source in a Heat Equation

Fatullayev A. G., Can E., HALICI A.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.11, no.2, pp.322-337, 2009 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2009
  • Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.322-337
  • Kocaeli University Affiliated: Yes

Abstract

An inverse problem of finding unknown source function in a heat equation is considered. A method based on the Trace-Type Functional (TTF) formulation and implicit finite difference scheme is applied for the numerical solution. The convergence and the stability of the method are investigated for some test example. The performance of the method in comparision with other methods are presented.