Numerical solution of the inverse problem of determining an unknown source term in a two-dimensional heat equation

Applied Mathematics and Computation

Volumn 152, Issue 3, 2004, Pages 659-666

  Fatullayev, Afet Golayoglu ^a  

^a BASKENT UNIVERSITY   (Turkey)

Author keywords

Finite difference method; Inverse problems; Overspecified data; Parabolic equations; Unknown source

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; PIECEWISE LINEAR TECHNIQUES; PROBLEM SOLVING;

OVERSPECIFIED DATA; PARABOLIC EQUATIONS; UNKNOWN SOURCE;

INVERSE PROBLEMS;

EID: 2342625975     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00582-4     Document Type: Article

References (4)

1. Du Chateau P., Rundell W. Unicity in an inverse problem for an unknown reaction term in a reaction-diffusion equation. J. Differen. Equat . 59:1985;155-164.
2. M.S. Pilant, W. Rundell, Undetermined coefficient problems for quasilinear parabolic equations, in: Proceedings of the Conference on Inverse Problems in Partial Differential Equation, Arcata, California, 29 July-4 August 1989.
3. Fatullayev A.G. Numerical solution of the inverse problem of determining an unknown source term in a heat equation. Math. Comput. Simul. 58:2002;247-253.
4. Fatullayev A.G. Numerical procedure for the determination of an unknown coefficients in parabolic equations. Comput. Phys. Commun. 144:2002;29-33.