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Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function - MaRDI portal

Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function (Q1201654)

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scientific article; zbMATH DE number 98082
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English
Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function
scientific article; zbMATH DE number 98082

    Statements

    Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function (English)
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    17 January 1993
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    The authors introduce an exponentially fitted method on a nonuniform mesh. The method is shown to be uniformly convergent with respect to the small parameter. One numerical example is given.
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    nonsmooth boundary layer function
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    uniform convergence
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    singular perturbation
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    initial-boundary value problem
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    difference scheme
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    exponentially fitted method
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    nonuniform mesh
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    small parameter
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    numerical example
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