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Ninth order block hybrid collocation method for second order ordinary differential equations


Citation

Yap, Lee Ken and Ismail, Fudziah (2015) Ninth order block hybrid collocation method for second order ordinary differential equations. In: 1st Progress in Applied Mathematics in Science and Engineering 2015 (PIAMSE 2015), 29 Sept.-1 Oct. 2015, Bali, Indonesia. (pp. 1-8).

Abstract

A ninth order block hybrid collocation method is proposed for solving general second order ordinary differential equations directly. The derivation involves interpolation and collocation of basic polynomial that generates the main and additional methods. These methods are applied simultaneously to provide approximate solutions at five main points and three off-step points. The stability properties of the block method are discussed. Some illustrative examples are given to demonstrate the efficiency of the method.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4940254
Publisher: AIP Publishing LLC
Keywords: Ninth order block hybrid collocation method; Second order ordinary differential equations; Block method
Depositing User: Nabilah Mustapa
Date Deposited: 24 Oct 2017 07:30
Last Modified: 24 Oct 2017 07:30
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4940254
URI: http://psasir.upm.edu.my/id/eprint/57598
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