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Determination of an unknown source parameter in two-dimensional heat equation. (English) Zbl 1067.65100

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.

MSC:

65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
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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
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