A stable highly accurate ADI method for hyperbolic heat conduction equation (Q1094112)
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scientific article; zbMATH DE number 4024690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A stable highly accurate ADI method for hyperbolic heat conduction equation |
scientific article; zbMATH DE number 4024690 |
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A stable highly accurate ADI method for hyperbolic heat conduction equation (English)
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1986
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The two-dimensional hyperbolic heat conduction equation is solved numerically by a stable highly accurate ADI method, using differences which lead to tridiagonal systems. After some useful transformations of the difference scheme, an accuracy analysis with Taylor expansion and a von Neumann stability analysis with the eigenvalues of the amplification matrix are performed.
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alternating direction implicit method
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two-dimensional hyperbolic heat conduction equation
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accurate ADI method
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tridiagonal systems
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Taylor expansion
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von Neumann stability analysis
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amplification matrix
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