Some high accuracy difference schemes with a splitting operator for equations of parabolic and elliptic type |
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Authors: | G Fairweather A R Gourlay A R Mitchell |
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Institution: | (1) Department of Applied Mathematics, St. Andrews University Fife, Scotland |
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Abstract: | Summary High accuracy alternating direction implicit difference schemes for the heat equation, LAPLACE's equation and the biharmonic equation are considered. In addition to surveying the existing methods, several new methods are introduced. Sequences of iteration parameters are obtained for the elliptic problems and a numerical example is given. |
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