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2023 | OriginalPaper | Chapter

Heptic Hermite Collocation on Finite Elements

Authors : Zanele Mkhize, Nabendra Parumasur, Pravin Singh

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

We present the solution of linear and nonlinear ordinary differential equations using collocation on finite elements. A heptic (septic) basis is derived and its properties are discussed. The phenomenon of superconvergence at the nodes is illustrated. An investigation of the global and nodal rates of convergence reveals remarkable agreement with a theorem proved by Carl R. de Boor in 1973.

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Title: Heptic Hermite Collocation on Finite Elements
Authors: Zanele Mkhize
Nabendra Parumasur
Pravin Singh
Publisher: Springer Nature Singapore
Book: Frontiers in Industrial and Applied Mathematics
Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-981-19-7272-0_38

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