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A uniformly convergent difference scheme for a semilinear singular perturbation problem

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Summary

We present a difference scheme for solving a semilinear singular perturbation problem with any number of turning points of arbitrary orders. It is shown that a solution of the scheme converges, uniformly in a perturbation parameter, to that of the continuous problem.

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Authors and Affiliations

  1. Department of Mathematics, Kyushu University, Fukuoka, Japan

    Koichi Niijima

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  1. Koichi Niijima
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Niijima, K. A uniformly convergent difference scheme for a semilinear singular perturbation problem. Numer. Math. 43, 175–198 (1984). https://doi.org/10.1007/BF01390122

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  • DOI: https://doi.org/10.1007/BF01390122

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