Collocation with quadratic and cubic splines

A. K A Khalifa, J. C. Eilbeck

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


We consider the numerical solution of two-point boundary value problems using the collocation method with equally spaced collocation points, and quadratic or cubic splines as the approximating function. Asymptotic bounds on the maximum error show that, in certain cases, the quadratic spline can give higher accuracy by a factor of between two and three, compared with the cubic spline case. Numerical tests support the theoretical results. © 1982 Academic Press Inc. (London) Limited.

Original languageEnglish
Pages (from-to)111-121
Number of pages11
JournalIMA Journal of Numerical Analysis
Issue number1
Publication statusPublished - Jan 1982


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