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Grid approximation of the solution to the Blasius equation and of its derivatives. - MaRDI portal

Grid approximation of the solution to the Blasius equation and of its derivatives. (Q1852492)

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scientific article; zbMATH DE number 1849211
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English
Grid approximation of the solution to the Blasius equation and of its derivatives.
scientific article; zbMATH DE number 1849211

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    Grid approximation of the solution to the Blasius equation and of its derivatives. (English)
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    26 June 2003
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    The author considers a boundary value problem for the Blasius equation in the boundary-layer theory on a half-line. Formal and constructive difference schemes are constructed on uniform meshes with infinite and finite numbers of mesh points. Conditions are presented under which the difference solutions and their difference derivatives converge with a close-to-first order as \(N\rightarrow\infty\), where \(N\) is the number of mesh points.
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    boundary value problem
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    Blasius equation
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    difference
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    solution
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    convergence
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    convrgence
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    boundary-layer
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    uniform meshes
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