On the convergence of finite-difference schemes of high-order accurracy for singular problems (Q1901215)
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scientific article; zbMATH DE number 813152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of finite-difference schemes of high-order accurracy for singular problems |
scientific article; zbMATH DE number 813152 |
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On the convergence of finite-difference schemes of high-order accurracy for singular problems (English)
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7 November 1995
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Finite difference schemes of high-order accuracy are derived for solving stationary and parabolic problems in cylindrical or spherical coordinates without additional assumptions on the boundedness of the exact solution at the point \(r=0\). Special a priori estimates of the accuracy of the schemes and their approximation and stability with respect to boundary conditions in \(L_2\), \(W_2^1\) and \(C\) norms are established. Some numerical illustrations are presented.
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convergence
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singular problems
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high-order accuracy
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error estimates
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numerical examples
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finite difference schemes
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parabolic problems
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cylindrical or spherical coordinates
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stability
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