High accuracy stable numerical solution of 1D microscale heat transport equation (Q2780779)
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scientific article; zbMATH DE number 1720009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | High accuracy stable numerical solution of 1D microscale heat transport equation |
scientific article; zbMATH DE number 1720009 |
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High accuracy stable numerical solution of 1D microscale heat transport equation (English)
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14 March 2002
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heat transport equation
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fourth-order compact scheme
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Crank-Nicolson method
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finite difference scheme
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stability
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numerical comparison
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0.92489815
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0.9057858
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0.9006273
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0.8947514
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0.8939551
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0.88845384
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0.88041544
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The authors propose a numerical method for a one-dimensional heat transport equation \(T_t+ aT_{tt}= bT_{xx}+ cT_{xxt}\) based on a fourth-order compact finite difference scheme and a Crank-Nicolson time step. They prove unconditional stability and present a numerical comparison with a second-order scheme.
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