A regularized method for two dimensional nonlinear heat equation backward in time (Q2867604)
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scientific article; zbMATH DE number 6241311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regularized method for two dimensional nonlinear heat equation backward in time |
scientific article; zbMATH DE number 6241311 |
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A regularized method for two dimensional nonlinear heat equation backward in time (English)
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19 December 2013
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backward-in-time problem
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non-local boundary value method
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ill-posed problem
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Fourier series
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0.93291306
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0.9311313
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0.9215603
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0.91691893
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For the solution of a backward-in-time nonlinear heat equation, a non-local boundary value method is proposed and analyzed. Some error estimates between the exact solution and its regularization are obtained. A numerical example is presented to test and illustrate the method.
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