A fully adaptive MOL-treatment of parabolic 1-D problems with extrapolation techniques (Q1917448)
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scientific article; zbMATH DE number 897534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fully adaptive MOL-treatment of parabolic 1-D problems with extrapolation techniques |
scientific article; zbMATH DE number 897534 |
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A fully adaptive MOL-treatment of parabolic 1-D problems with extrapolation techniques (English)
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10 July 2000
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The author presents a fully adaptive method for the numerical solution of coupled systems of highly nonlinear parabolic differential equations in one space dimension. The standard finite difference method is used as basic space discretization. A linear implicit Euler method is used for time discretization. The basic discretizations in space and time are combined with extrapolation. The method avoids the solution of systems of nonlinear equations and allows an easy change of computational grid after each time step. The algorithm is implemented in the user friendly software package PDEXIM. Two numerical examples are included.
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method of lines
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fully adaptive method
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systems
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highly nonlinear parabolic
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finite difference method
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implicit Euler method
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extrapolation
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numerical examples
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