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A comparison of some numerical methods for two-point boundary value problems


Author: James M. Varah
Journal: Math. Comp. 28 (1974), 743-755
MSC: Primary 65L10
DOI: https://doi.org/10.1090/S0025-5718-1974-0373300-4
MathSciNet review: 0373300
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Abstract: In this paper we discuss and compare two useful variable mesh schemes for linear second-order two-point boundary value problems: the midpoint rule and collocation with cubic Hermite functions. We analyze the stability of the block-tridiagonal factorization for solving the linear systems, compare the amount of computer time required, and test the methods on some particular numerical problems.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1974-0373300-4
Keywords: Two-point boundary value problems, collocation, Galerkin method, finite-differences, operation counts, numerical stability
Article copyright: © Copyright 1974 American Mathematical Society

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