Study of Numerical Solution of Fourth Order Ordinary Differential Equations by fifth order Runge-Kutta Method

Authors(2) :-Najmuddin Ahamad, Shiv Charan

In this paper we present fifth order Runge-Kutta method (RK5) for solving initial value problems of fourth order ordinary differential equations. In this study RK5 method is quite efficient and practically well suited for solving boundary value problems. All mathematical calculation performed by MATLAB software for better accuracy and result. The result obtained, from numerical examples, shows that this method more efficient and accurate. These methods are preferable to some existing methods because of their simplicity, accuracy and less computational cost involved.

Authors and Affiliations

Najmuddin Ahamad
Department of Mathematics, Integral University, Lucknow, Uttar Pradesh, India
Shiv Charan
Department of Mathematics, Integral University, Lucknow, Uttar Pradesh, India

Runge-Kutta method, MATLAB, IVP, BVP

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Publication Details

Published in : Volume 6 | Issue 1 | January-February 2019
Date of Publication : 2019-02-28
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 230-237
Manuscript Number : IJSRSET196142
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

Najmuddin Ahamad, Shiv Charan, " Study of Numerical Solution of Fourth Order Ordinary Differential Equations by fifth order Runge-Kutta Method, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 1, pp.230-237, January-February-2019. Available at doi : https://doi.org/10.32628/IJSRSET196142
Journal URL : http://ijsrset.com/IJSRSET196142

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