Determination of an unknown source parameter in two-dimensional heat equation

Applied Mathematics and Computation

Volumn 159, Issue 3, 2004, Pages 881-886

  Baran, Emine Can ^a   Fatullayev, Afet Golayoglu ^b  

^a KOCAELI UNIVERSITY   (Turkey)

^b BASKENT UNIVERSITY   (Turkey)

Author keywords

Finite difference method; Inverse problem; Parabolic equation; Unknown source

Indexed keywords

BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; INVERSE PROBLEMS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

ARTIFICIAL ERRORS; PARABOLIC EQUATIONS; TRACE-TYPE FUNCTIONAL (TTF) FORMULATION; UNKNOWN SOURCES;

LINEAR EQUATIONS;

EID: 7544238414     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.08.082     Document Type: Article

References (4)

1. Cannon J.R., Lin Y., Xu S. Numerical procedures for determination of an unknown coefficient in semi-linear parabolic differential equation. Inverse Problems. 10:1994;227-243.
2. Cannon J.R., Lin Y., Rundell W. Inverse Problems in Partial Differential Equation. 1990;SIAM, Philadelphia, PA.
3. Fatullayev A., Can E. Numerical procedures for determining unknown source parameter in parabolic equations. Mathematics and Computers in Simulation. 54:2000;159-167.
4. Dehghan M. Determination of a control parameter in the two-dimensional diffusion equation. Applied Numerical Mathematics. 37:2001;489-502.