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

1974; American Mathematical Society; Volume: 28; Issue: 127 Linguagem: Inglês

10.1090/s0025-5718-1974-0373300-4

1088-6842

J. M. Varah,

Advanced Numerical Methods in Computational Mathematics

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.