Citation
Zainuddin, Nooraini and Ibrahim, Zarina Bibi
(2020)
Two-point block method for Van der Pol equation.
ASM Science Journal, 13.
pp. 1-5.
ISSN 1823-6782
Abstract
The second order ordinary differential equations (ODEs) of Van der Pol equation is treated by using the two-point block backward differentiation formula. Two types of Van der Pol equation which are stiff and nonstiff are considered. The main motivation of this study is to solve the Van der Pol equation directly instead of reducing it to a system of first order equation. The two-point block method is implemented in constant step size and will produce two approximated solutions for each step. Some numerical results are presented, and the comparisons are made with the existing solvers for both stiff and nonstiff ODE to validate the numerical performance of the two-point block method.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.32802/asmscj.2020.sm26(4.26) |
| Publisher: | Academy of Sciences Malaysia |
| Keywords: | Block; Direct method; Nonstiff; Stiff; Van der Pol |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 19 Oct 2022 01:43 |
| Last Modified: | 19 Oct 2022 01:43 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.32802/asmscj.2020.sm26(4.26) |
| URI: | http://psasir.upm.edu.my/id/eprint/86412 |
| Statistic Details: | View Download Statistic |
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