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Published October 1977 | Published
Journal Article Open

A Numerical Method for Singular Two Point Boundary Value Problems


The numerical solution of boundary value problems for linear systems of first order equations with a regular singular point at one endpoint is considered. The standard procedure of expanding about the singularity to get a nonsingular problem over a reduced interval is justified in some detail. Quite general boundary conditions are included which permit unbounded solutions. Error estimates are given and some numerical calculations are presented to check the theory.

Additional Information

© 1977 Society for Industrial and Applied Mathematics. Received by the editors March 23, 1976, and in revised form July 23, 1976. This work was supported in part by ERDA under Grant AT-04-3-767.

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August 19, 2023
October 18, 2023