Economical scheme for a parabolic equation in cylindrical coordinates in a domain with a small hole (Q1569339)
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scientific article; zbMATH DE number 1467871
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Economical scheme for a parabolic equation in cylindrical coordinates in a domain with a small hole |
scientific article; zbMATH DE number 1467871 |
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Economical scheme for a parabolic equation in cylindrical coordinates in a domain with a small hole (English)
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2 July 2000
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The author considers an economical scheme for a linear parabolic equation in a domain with a small hole of diameter \(\varepsilon\). Estimates of the convergence rate in the weighted norm of \(L_2\) that are uniform with respect to the parameter \(\varepsilon\) on the order of \(h^2+\tau\) are obtained under weak assumptions about the smoothness of date. Axial symmetry of the solution is not assumed.
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error bounds
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difference scheme
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linear parabolic equation
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convergence
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domain with a small hole
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