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On the numerical solution of singular boundary value problems of second order by a difference method


Author: Ewa Weinmüller
Journal: Math. Comp. 46 (1986), 93-117
MSC: Primary 65L10; Secondary 34A50
DOI: https://doi.org/10.1090/S0025-5718-1986-0815834-X
MathSciNet review: 815834
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Abstract: The standard three-point discretization applied to the numerical solution of nonlinear boundary value problems for second-order systems with a singularity of the first kind is investigated. The results are extended to the boundary value problems arising in practical problems from mechanics and chemistry. A number of numerical examples illustrating the theoretical results is presented.


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DOI: https://doi.org/10.1090/S0025-5718-1986-0815834-X
Article copyright: © Copyright 1986 American Mathematical Society