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Hermite interpolation visits ordinary two-point boundary value problems

Published online by Cambridge University Press:  17 February 2009

R. E. Grundy
R. E. Grundy
Affiliation:
School of Mathematics and Statistics, University of St Andrews, St Andrews, UK; email: reg@st-andrews.ac.uk.
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Abstract

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This paper is concerned with constructing polynomial solutions to ordinary boundary value problems. A semi-analytic technique using two-point Hermite interpolation is compared with conventional methods via a series of examples and is shown to be generally superior, particularly for problems involving nonlinear equations and/or boundary conditions.

Keywords

boundary value problemsHermite interpolation
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 4 , April 2007 , pp. 533 - 552
Copyright
Copyright © Australian Mathematical Society 2007

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