Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data (Q1395265)

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scientific article; zbMATH DE number 1940642
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Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data
scientific article; zbMATH DE number 1940642

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    Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data (English)
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    1 July 2003
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    This paper is concerned with the Dirichlet problem for singularly perturbed ordinary differential equations with convective terms. To approximate the problem, a difference scheme converging uniformly in the parameter \(\varepsilon\) on special piecewise-uniform grids is used. Some estimates of the perturbations of the mesh solution as a function of the subdomain where the data perturbations occur are obtained.
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    singular perturbation
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    convergence
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    Dirichlet problem
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    grid generation
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    difference scheme
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    data perturbations
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