High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients (Q1392786)
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scientific article; zbMATH DE number 1180782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients |
scientific article; zbMATH DE number 1180782 |
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High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients (English)
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26 January 1999
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Finite difference schemes for the three-dimensional heat conduction equation and the unsteady Navier-Stokes equations in polar coordinates are developed. The schemes enjoy second-order accuracy in time and fourth-order accuracy in space and unconditionally stable ADI methods for their solution are discussed. Numerical experiments indicate that the methods retain their accuracy even close to the polar singularity.
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stability
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numerical examples
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finite difference schemes
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heat conduction equation
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Navier-Stokes equations
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ADI methods
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