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A numerical method for solving singular boundary value problems

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Summary

A numerical method is treated for solving singular boundary value problems with solutions that can be represented as series expansions on a subinterval near the singularity. A regular boundary value problem is derived on the remaining interval, for which a difference method is used. Convergence theorems are given for general schemes and for schemes of positive type for second order equations.

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References

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Authors and Affiliations

  1. Uppsala University Department of Computer Sciences, Sturegatan 4B 2tr, S-752-23, Uppsala, Sweden

    Bertil Gustafsson

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  1. Bertil Gustafsson
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Gustafsson, B. A numerical method for solving singular boundary value problems. Numer. Math. 21, 328–344 (1973). https://doi.org/10.1007/BF01436387

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  • DOI: https://doi.org/10.1007/BF01436387

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