The method of lines to reconstruct a moving boundary for a one-dimensional heat equation in a multilayer domain (Q695483)
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scientific article; zbMATH DE number 6117895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of lines to reconstruct a moving boundary for a one-dimensional heat equation in a multilayer domain |
scientific article; zbMATH DE number 6117895 |
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The method of lines to reconstruct a moving boundary for a one-dimensional heat equation in a multilayer domain (English)
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21 December 2012
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Based on a quasi-reversibility regularization technique, the authors use the method of lines to solve the Cauchy problem of a modified fourth-order heat equation. The original ill-posed problem is transformed into a well-posed problem. Six numerical examples for various moving boundaries are presented.
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finite difference
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ill-posed problem
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method of lines
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multilayer domain
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quasi-reversibility method
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