Citation
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).
Abstract
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 |
| Statistic Details: | View Download Statistic |
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