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A Robust computational method for singularly perturbed coupled system of reaction-diffusion boundary-value problems - MaRDI portal

A Robust computational method for singularly perturbed coupled system of reaction-diffusion boundary-value problems (Q2371442)

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A Robust computational method for singularly perturbed coupled system of reaction-diffusion boundary-value problems
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    A Robust computational method for singularly perturbed coupled system of reaction-diffusion boundary-value problems (English)
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    4 July 2007
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    The authors devise a robust computational method for singularly perturbed systems of reaction-diffusion boundary-value problems on a piecewise uniform Shishkin mesh on the whole domain. They prove that this newly proposed scheme is uniformly stable throughout the domain and provides second-order uniform convergence results, and give a test problem to verify the efficiency and accuracy of the method.
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    singular perturbation
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    boundary layers
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    cubic spline
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    piecewise-uniform Shishkin mesh
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    uniform convergence
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    stability
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    numerical examples
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    system of reaction-diffusion boundary-value problems
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