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

Authors

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

DOI:

https://doi.org//10.32628/IJSRSET196142

Keywords:

Runge-Kutta method, MATLAB, IVP, BVP

Abstract

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.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2019-02-28

Issue

Volume 6, Issue 1, January-February-2019

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
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