Grid approximation of a singularly perturbed Neumann problem for parabolic equations in the case of a discontinuous boundary function (Q1974762)
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scientific article; zbMATH DE number 1440475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Grid approximation of a singularly perturbed Neumann problem for parabolic equations in the case of a discontinuous boundary function |
scientific article; zbMATH DE number 1440475 |
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Grid approximation of a singularly perturbed Neumann problem for parabolic equations in the case of a discontinuous boundary function (English)
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19 June 2000
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The author considers the boundary value problem for a singulary perturbed parabolic equation on a strip. The problem is stated, motivation for the study is discussed, and an illustrative example is presented. The example demonstrates how the behavior of grid solutions to Dirichlet and Neumann problems for singularly perturbed equations differs essentially when obtained with classical difference schemes.
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discontinuous boundary function
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grid approximation
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singular perturbation
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nonlinear parabolic equation
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numerical example
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initial-boundary value problem
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difference schemes
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0.94714606
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0.9346484
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0.9286421
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0.9233278
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