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Numerical treatment of singularly perturbed two point boundary value problems - MaRDI portal

Numerical treatment of singularly perturbed two point boundary value problems (Q580916)

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scientific article; zbMATH DE number 4018273
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Numerical treatment of singularly perturbed two point boundary value problems
scientific article; zbMATH DE number 4018273

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    Numerical treatment of singularly perturbed two point boundary value problems (English)
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    1987
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    The authors present a numerical method for solving singularly perturbed two-point boundary value problems with a boundary layer on the left end of the given interval. The original problem is converted into two-point boundary problems in inner and outer regions and the classical finite difference scheme is applied combined with a discrete invariant imbedding algorithm to get the numerical solutions. Results of three numerical examples show good accuracy of the proposed methods.
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    singularly perturbed two-point boundary value problems
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    boundary layer
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    finite difference scheme
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    discrete invariant imbedding algorithm
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    numerical examples
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