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Analysis of five-point difference scheme on an ''oblique cross'' pattern in approximating the mixed problem for the Laplace equation - MaRDI portal

Analysis of five-point difference scheme on an ''oblique cross'' pattern in approximating the mixed problem for the Laplace equation (Q1082783)

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scientific article; zbMATH DE number 3974210
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English
Analysis of five-point difference scheme on an ''oblique cross'' pattern in approximating the mixed problem for the Laplace equation
scientific article; zbMATH DE number 3974210

    Statements

    Analysis of five-point difference scheme on an ''oblique cross'' pattern in approximating the mixed problem for the Laplace equation (English)
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    1985
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    The author obtains an asymptotic expansion of the net solution of a five- point difference scheme on an ''oblique cross'' pattern that approximates the solution of the mixed problem for the Laplace equation in a half- plane. It is evident that the order of accuracy of the scheme is \(O(h/r^{1/2})\).
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    oblique cross pattern
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    asymptotic expansion
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    five-point difference scheme
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    mixed problem
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    Laplace equation
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    order of accuracy
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