Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions (Q817030)
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scientific article; zbMATH DE number 5009643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions |
scientific article; zbMATH DE number 5009643 |
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Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions (English)
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2 March 2006
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The author introduces a totally discrete explict numerical scheme for nonlinear parabolic equations with singularities in finite time. The developed scheme has proved that the numerical blow-up time converges to the theoretical one. A number of numerical experiments is presented for illustration of the developed techniques.
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adaptive numerical scheme
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asymptotoc bebaviour
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blow up
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convergence
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semidiscretization
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Euler method
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nonlinear parabolic equations
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numerical experiments
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0.8835471
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0.8755848
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0.8736252
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0.87283796
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0.8724854
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0.8715839
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