Baran, Emine Can; Fatullayev, Afet Golayoglu Determination of an unknown source parameter in two-dimensional heat equation. (English) Zbl 1067.65100 Appl. Math. Comput. 159, No. 3, 881-886 (2004). Summary: The problem of determining unknown source parameters in the two-dimensional heat equation is considered. A method based on trace-type functional formulation is examined on the solving of the considered problem. Some numerical examples are presented. Cited in 5 Documents MSC: 65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs 35K05 Heat equation Keywords:Parabolic equation; Inverse problem; Unknown source; Finite-difference method; heat equation; numerical examples PDFBibTeX XMLCite \textit{E. C. Baran} and \textit{A. G. Fatullayev}, Appl. Math. Comput. 159, No. 3, 881--886 (2004; Zbl 1067.65100) Full Text: DOI References: [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, 227-243 (1994) · Zbl 0805.65133 [2] Cannon, J. R.; Lin, Y.; Rundell, W., Inverse Problems in Partial Differential Equation (1990), SIAM: SIAM Philadelphia, PA [3] Fatullayev, A.; Can, E., Numerical procedures for determining unknown source parameter in parabolic equations, Mathematics and Computers in Simulation, 54, 159-167 (2000) [4] Dehghan, M., Determination of a control parameter in the two-dimensional diffusion equation, Applied Numerical Mathematics, 37, 489-502 (2001) · Zbl 0982.65103 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.