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 |
| Statistic Details: | View Download Statistic |
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