A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs
In this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered. The TDTSRK methods are a special case of multi-derivative Runge-Kutta methods proposed by K...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/2459809 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548560427548672 |
|---|---|
| author | I. B. Aiguobasimwin R. I. Okuonghae |
| author_facet | I. B. Aiguobasimwin R. I. Okuonghae |
| author_sort | I. B. Aiguobasimwin |
| collection | DOAJ |
| description | In this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered. The TDTSRK methods are a special case of multi-derivative Runge-Kutta methods proposed by Kastlunger and Wanner (1972). The methods considered herein incorporate only the first and second derivatives terms of ODEs. These methods possess large interval of stability when compared with other existing methods in the literature. The experiments have been performed on standard problems, and comparisons were made with some standard explicit Runge-Kutta methods in the literature. |
| format | Article |
| id | doaj-art-a7b212801bf943e08a9c9cddb8b6e0ea |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a7b212801bf943e08a9c9cddb8b6e0ea2025-02-03T06:13:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422019-01-01201910.1155/2019/24598092459809A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEsI. B. Aiguobasimwin0R. I. Okuonghae1Department of Mathematics, University of Benin, NigeriaDepartment of Mathematics, University of Benin, NigeriaIn this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered. The TDTSRK methods are a special case of multi-derivative Runge-Kutta methods proposed by Kastlunger and Wanner (1972). The methods considered herein incorporate only the first and second derivatives terms of ODEs. These methods possess large interval of stability when compared with other existing methods in the literature. The experiments have been performed on standard problems, and comparisons were made with some standard explicit Runge-Kutta methods in the literature.http://dx.doi.org/10.1155/2019/2459809 |
| spellingShingle | I. B. Aiguobasimwin R. I. Okuonghae A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs Journal of Applied Mathematics |
| title | A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs |
| title_full | A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs |
| title_fullStr | A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs |
| title_full_unstemmed | A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs |
| title_short | A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs |
| title_sort | class of two derivative two step runge kutta methods for non stiff odes |
| url | http://dx.doi.org/10.1155/2019/2459809 |
| work_keys_str_mv | AT ibaiguobasimwin aclassoftwoderivativetwosteprungekuttamethodsfornonstiffodes AT riokuonghae aclassoftwoderivativetwosteprungekuttamethodsfornonstiffodes AT ibaiguobasimwin classoftwoderivativetwosteprungekuttamethodsfornonstiffodes AT riokuonghae classoftwoderivativetwosteprungekuttamethodsfornonstiffodes |