An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem (Q1893502)
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scientific article; zbMATH DE number 770170
| Language | Label | Description | Also known as |
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| English | An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem |
scientific article; zbMATH DE number 770170 |
Statements
An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem (English)
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13 November 1995
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The singularly perturbed boundary value problem \(-\varepsilon^ 2 u''(x) + b(x,u) = 0\), \(u(0) = u(1) = 0\) is solved under the validity of the condition \(b_ u (x,u) \geq K > 0\). A finite difference method is used that has almost fourth order of accuracy uniform in \(\varepsilon\).
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semilinear
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reaction-diffusion problem
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singular perturbation
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uniform convergence
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finite difference method
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