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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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