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A numerical method for solving singular boundary value problems
Authors:Bertil Gustafsson
Institution:(1) Uppsala University Department of Computer Sciences, Sturegatan 4B 2tr, S-752-23 Uppsala, Sweden
Abstract: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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