Wavelets and regularization of the sideways heat equation (Q597327)
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scientific article; zbMATH DE number 2082642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelets and regularization of the sideways heat equation |
scientific article; zbMATH DE number 2082642 |
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Wavelets and regularization of the sideways heat equation (English)
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6 August 2004
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The inverse problem for the sideways heat conduction equation in the quarter of the spatial-time plane is considered. This type of inverse problem arises in different fields of practice when it is necessary to determine the surface temperature from a measured temperature history at a fixed location inside of the body and is called the inverse problem for sideways heat conduction equation. For a solution of the considered inverse problem the Meyer wavelet regularization procedure is suggested and an error estimate between the exact and the approximate solutions in the logarithmic form is given.
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inverse problem
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regularization methods
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Sideways heat equation
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wavelets
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error bound
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