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, cilt.11, sa.2, ss.322-337, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2009
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.322-337
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.