Abstract
Consider a linear ordinary differential equation of the 2nd order which has a singularity at the origin; according to the nature of this singularity we must consider either the two-point boundary-value problem or the one-point boundary value problem. Finite-difference schemes are studied; results are given concerning error analysis and monotone convergence.
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References
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The material of this paper is taken from the author's doctoral thesis [2]. The author is greatly indebted to his adviser S. V. Parter. - Sponsored by the Mathematics Research Center, United States Army, Madison, Wisconsin, under Contract No.: DA-31-124-ARO-D-462.
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Jamet, P. On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems. Numer. Math. 14, 355–378 (1970). https://doi.org/10.1007/BF02165591
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DOI: https://doi.org/10.1007/BF02165591