On the derivation of highest-order compact finite difference schemes for the one- and two-dimensional Poisson equation with Dirichlet boundary conditions (Q2855117)
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scientific article; zbMATH DE number 6219412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the derivation of highest-order compact finite difference schemes for the one- and two-dimensional Poisson equation with Dirichlet boundary conditions |
scientific article; zbMATH DE number 6219412 |
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24 October 2013
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compact scheme
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Poisson equation
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Hermitian method
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high-order finite difference scheme
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Helmholtz equation
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numerical experiment
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On the derivation of highest-order compact finite difference schemes for the one- and two-dimensional Poisson equation with Dirichlet boundary conditions (English)
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This paper describes a high-order finite difference scheme for the Helmholtz equation. The method does not require the approximation of the boundary conditions. Therefore, it is suitable for problems with various boundary conditions. A completely general approach to treat different boundary conditions is provided. Changing the boundary conditions requires only minor changes in the algorithm. The results of numerical experiments are also presented.
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