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Zbl 0995.65097
Dehghan, Mehdi
New schemes for a two-dimensional inverse problem with temperature overspecification. (English)
[J] Math. Probl. Eng. 7, No.3, 283-297 (2001). ISSN 1024-123X; ISSN 1563-5147/e

The author presents a method for identifying the value of a control parameter in a two-dimensional heat equation that gives a given temperature distribution over time at a specific point in space.
[J.D.P.Donnelly (Oxford)]

MSC 2000:: *65M32 Inverse problems
35K15 Second order parabolic equations, initial value problems
65M06 Finite difference methods (IVP of PDE)
35R30 Inverse problems for PDE

Keywords: inverse problem; parabolic equation; alternating direction implicit method; heat equation

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