A variational difference scheme for a singularly perturbed one-dimensional reaction-diffusion problem (Q2757061)
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scientific article; zbMATH DE number 1675756
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational difference scheme for a singularly perturbed one-dimensional reaction-diffusion problem |
scientific article; zbMATH DE number 1675756 |
Statements
21 November 2001
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reaction-diffusion problem
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variational difference scheme
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non-uniform mesh
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two-point boundary value problem
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Galerkin finite element method
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numerical example
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A variational difference scheme for a singularly perturbed one-dimensional reaction-diffusion problem (English)
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This paper deals with the variational difference scheme on a non-uniform mesh of the two-point boundary value problem of the form NEWLINE\[NEWLINE\varepsilon^2 y''(x)- p(x) y(x)= f(x),\quad y(0)= y(1)= 0.NEWLINE\]NEWLINE The author uses a Galerkin finite element method with a natural choice of test functions and discusses the nodal error bounds for fixed \(\varepsilon\). A numerical example is presented.
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