Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions (Q426950)
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scientific article; zbMATH DE number 6045812
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions |
scientific article; zbMATH DE number 6045812 |
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Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions (English)
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13 June 2012
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The authors investigate the inverse problem of finding a time-dependent heat source in a parabolic equation with nonlocal boundary and integral over-determination conditions. Under some natural regularity and consistency conditions on the input data the well-posedness of the problem is shown by using the generalized Fourier method. Numerical tests using the Crank-Nicolson finite difference scheme combined with an iterative method are presented and discussed.
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Fourier method
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heat source
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inverse problem
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integral overdetermination condition
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finite difference method
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mollification method
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numerical examples
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parabolic equation
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Crank-Nicolson
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