The compact finite difference method of two-dimensional Cattaneo model (Q2189654)
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| Language | Label | Description | Also known as |
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| English | The compact finite difference method of two-dimensional Cattaneo model |
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The compact finite difference method of two-dimensional Cattaneo model (English)
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16 June 2020
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Summary: In this paper, we propose and analyze the compact finite difference scheme of the two-dimensional Cattaneo model. The stability and convergence of the scheme are proved by the energy method, the convergence orders are 2 in time and 4 in space. We also use the variables separation method to find the true solution of the problem. On this basis, the validity and accuracy of the scheme are verified by numerical experiments.
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finite difference method
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Cattaneo model
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heat wave
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