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High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients - MaRDI portal

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
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English
High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients
scientific article; zbMATH DE number 1180782

    Statements

    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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