Runge-Kutta type methods for directly solving special fourth-order ordinary differential equations

Citation

Hussain, Kasim Abbas and Ismail, Fudziah and Senu, Norazak (2015) Runge-Kutta type methods for directly solving special fourth-order ordinary differential equations. Mathematical Problems in Engineering, 2015. art. no. 893763. pp. 1-11. ISSN 1024-123X; ESSN: 1563-5147

Abstract

A Runge-Kutta type method for directly solving special fourth-order ordinary differential equations (ODEs) which is denoted by RKFD method is constructed. The order conditions of RKFD method up to order five are derived; based on the order conditions, three-stage fourth- and fifth-order Runge-Kutta type methods are constructed. Zero-stability of the RKFD method is proven. Numerical results obtained are compared with the existing Runge-Kutta methods in the scientific literature after reducing the problems into a system of first-order ODEs and solving them. Numerical results are presented to illustrate the robustness and competency of the new methods in terms of accuracy and number of function evaluations.

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Official URL or Download Paper: https://www.hindawi.com/journals/mpe/2015/893763/

Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2015/893763
Publisher:	Hindawi
Keywords:	Runge-Kutta; Ordinary differential equations; Equations; Mathematics
Depositing User:	Ms. Ainur Aqidah Hamzah
Date Deposited:	31 May 2022 20:53
Last Modified:	31 May 2022 20:53
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2015/893763
URI:	http://psasir.upm.edu.my/id/eprint/46211
Statistic Details:	View Download Statistic

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