Citation
Jana Aksah, Saufianim and Ibrahim, Zarina Bibi
(2016)
Modified block Runge-Kutta methods with various weights for solving stiff ordinary differential equations.
Global Journal of Pure and Applied Mathematics, 12 (6).
pp. 5283-5302.
ISSN 0973-1768; ESSN: 0973-9750
Abstract
A modified block Runge-Kutta (MBRK) methods for solving first order stiff ordinary differential equations (ODEs) are developed. Three sets of weight are chosen and implemented to the proposed methods. Stability regions of the MBRK methods are analyzed. Performances of the MBRK methods in terms of accuracy and computational time are compared with the classical third order Runge-Kutta (RK3) method and modified weighted RK3 method based on Centroidal mean (MWRK3CeM). The numerical results show that the proposed methods outperformed the comparing methods. Comparisons between the sets of weight used are also examined.
Download File
Official URL or Download Paper: https://www.ripublication.com/Volume/gjpamv12n6.ht...
|
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Research India Publications |
| Keywords: | Runge-Kutta method; Block method; Weights; Stiff ODEs; Centroidal mean |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 05 Jun 2017 09:15 |
| Last Modified: | 05 Jun 2017 09:15 |
| URI: | http://psasir.upm.edu.my/id/eprint/52325 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |