A second order backward difference method with variable steps for a parabolic problem (Q1279692)
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scientific article; zbMATH DE number 1251183
| Language | Label | Description | Also known as |
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| English | A second order backward difference method with variable steps for a parabolic problem |
scientific article; zbMATH DE number 1251183 |
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A second order backward difference method with variable steps for a parabolic problem (English)
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15 October 1999
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The numerical solution of a parabolic problem is studied. The equation is discretized in time by means of a second order two step backward difference method with variable time step. A stability result is proved by the energy method under certain restrictions on the ratios of successive time steps. Error estimates are derived and applications are given to homogeneous equations with initial data of low regularity.
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parabolic equation
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backward difference scheme
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variable time steps
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stability
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error estimates
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