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Multivalue-multistage method for second-order ODEs


Ismail, Siti Ainathon and Rabiei, Faranak (2016) Multivalue-multistage method for second-order ODEs. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-5).


The aim of this paper is to generate the needed framework to develop order conditions for second-order Ordinary Differential Equations (ODEs) by class of multivalue-multistage Nystrom method. A general approach to study the order conditions of the methods for solving second-order initial value problems is investigated. Our investigation will be carried out by adapting the theory of Nystrom-series and using the sets of second order rooted trees for solving second-order ODEs which leads to a general set of order conditions. In this paper the method of order three using constant step-size algorithm is derived. The stability region of method is also proposed.

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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/10.1063/1.4995927
Publisher: AIP Publishing
Keywords: Second-order ODEs; Multivalue-multistage method
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:04
Last Modified: 26 Sep 2017 04:04
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995927
URI: http://psasir.upm.edu.my/id/eprint/57327
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