Finite difference approximations for a class of nonlocal parabolic equations (Q1363202)
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scientific article; zbMATH DE number 1049448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite difference approximations for a class of nonlocal parabolic equations |
scientific article; zbMATH DE number 1049448 |
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Finite difference approximations for a class of nonlocal parabolic equations (English)
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8 January 1998
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The authors consider a finite difference procedure for a class of parabolic equations with non-local boundary condition. Semi-implicit and fully implicit backward Euler schemes are studied. Both schemes preserve the maximum principle and the monotonicity of the solution of the original equation, and the fully implicit schemes also possess strict monotonicity. The finite difference solutions approach to zero as \(t\to \infty\) exponentially is also proved. The proposed method is illustrated by numerical examples.
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finite difference
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convergence
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monotonicity
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decay
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stability
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parabolic equation
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maximum principle
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non-local boundary condition
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backward Euler schemes
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numerical examples
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