Open AccessComputational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations
Author(s) -
Vijeyata Chauhan,
Pankaj Kumar Srivastava
Publication year - 2019
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2019.4.2-030
Subject(s) - runge–kutta methods , mathematics , differential equation , numerical methods for ordinary differential equations , type (biology) , order (exchange) , computer science , ordinary differential equation , mathematical analysis , differential algebraic equation , finance , economics , ecology , biology
The Runge-Kutta method is a one step method with multiple stages, the number of stages determine order of method. The method can be applied to work out on differential equation of the type’s explicit, implicit, partial and delay differential equation etc. The present paper describes a review on recent computational techniques for solving differential equations using Runge-Kutta algorithm of various order. This survey includes the summary of the articles of last decade till recent years based on third; fourth; fifth and sixth order Runge-Kutta methods. Along with this a combination of these methods and various other type of Runge-Kutta algorithm based articles are included. Comparisons of methods with own critical comments as remarks have been included.