Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator (Q818184)
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scientific article; zbMATH DE number 5015135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator |
scientific article; zbMATH DE number 5015135 |
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Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator (English)
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24 March 2006
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A convergence analysis of a finite difference scheme for a parabolic problem, described by the one dimensional heat equation with time-dependent operator and a singular coefficient with the Dirac delta function is presented. An error bound estimate, ``almost'' compatible with the smootheness of the exact solution is established by means of a special energetic Sobolev norm.
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convergence
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delta function
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variable operator
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heat equation
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finite difference method
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parabolic problem
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error bound
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energetic Sobolev norm
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