A moving collocation method for solving time dependent partial differential equations (Q1917446)
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scientific article; zbMATH DE number 897532
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A moving collocation method for solving time dependent partial differential equations |
scientific article; zbMATH DE number 897532 |
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A moving collocation method for solving time dependent partial differential equations (English)
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15 April 1997
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The paper is concerned with a method for solving time dependent partial differential equations written in divergence form which combines a cell averaging Hermitian collocation with a finite difference approximation to the equidistribution principle. The method is tested against one-dimensional problems described by Burgers' equation, a flame propagation model and the Euler equations. It is stated that more accurate results for moderate numbers of mesh points are obtained as compared with those for fixed meshes.
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moving meshes
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equidistribution
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Hermitian collocation
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finite difference
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Burgers' equation
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flame propagation
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Euler equations
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0.9253545
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0.91859686
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0.9044814
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0.90044034
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0.8970798
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0.89545345
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0.89233077
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0.88861966
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