Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



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
MathSciNet review: 0373300
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65L10

Retrieve articles in all journals with MSC: 65L10

Additional Information

Keywords: Two-point boundary value problems, collocation, Galerkin method, finite-differences, operation counts, numerical stability
Article copyright: © Copyright 1974 American Mathematical Society

American Mathematical Society