Graphical Interpretation of the Slopes Used in the Derivation of Classical Fourth Order Runge-Kutta (RK4) Formula

Md. Azmol Huda, Mohammad Wahiduzzaman and Munnujahan Ara
Additional contact information
Md. Azmol Huda: Mathematics Discipline, Khulna University, Khulna, Bangladesh
Mohammad Wahiduzzaman: Mathematics Discipline, Khulna University, Khulna, Bangladesh
Munnujahan Ara: Mathematics Discipline, Khulna University, Khulna, Bangladesh

International Journal of Research and Scientific Innovation, 2022, vol. 9, issue 4, 27-32

Abstract: Many practical issues in science and engineering are formulated by ordinary differential equations (ODE) that require their own numerical solution. There are a variety of numerical approaches, e.g. the Euler method, the modified Euler method, the Heun’s method, the Adam-Bashforth method, and so on, that exist in the context of numerical analysis. Amongst them, the classical fourth order Runge-Kutta (RK4) technique is the most reliable and most used. The objective of this paper is twofold. The first goal is to derive the value of different parameters in the formulation of the fourth order Runge-Kutta method, and the second goal is to give details of the geometrical interpretation of this method, principally explaining the role of the increment parameters in the formula. The whole discussion will facilitate perception of the key mechanism of the Runge-Kutta method.

Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.rsisinternational.org/journals/ijrsi/d ... -9-issue-4/27-32.pdf (application/pdf)
https://www.rsisinternational.org/virtual-library/ ... e-kutta-rk4-formula/

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bjc:journl:v:9:y:2022:i:4:p:27-32

Access Statistics for this article

International Journal of Research and Scientific Innovation is currently edited by Dr. Renu Malsaria

More articles in International Journal of Research and Scientific Innovation from International Journal of Research and Scientific Innovation (IJRSI)
Bibliographic data for series maintained by Dr. Renu Malsaria ().