On The Component Analysis and Transformation of An Explicit Fourth – Stage Fourth – Order Runge – Kutta Methods
Abstract
This work is designed to transform the fourth stage – fourth order explicit Runge-Kutta method with the aim of projecting a new method of implementing it through tree diagram analysis. Efforts will be made to represent the equations derived from the y derivatives and x,y derivatives separately on Butcher’s rooted trees. This idea is derivable from general graphs and combinatorics.
Key words: Rooted tree diagram, Transformation, Vertex, explicit, y partial derivatives, x,y partial derivatives, Runge-Kutta Methods, Linear and non- linear equations, Taylor series, Graphs.
Keywords: key words, Runge - Kutta, Combinatorics, Derivatives, Transformation, Analysis
To list your conference here. Please contact the administrator of this platform.
Paper submission email: JNSR@iiste.org
ISSN (Paper)2224-3186 ISSN (Online)2225-0921
Please add our address "contact@iiste.org" into your email contact list.
This journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License.
Copyright © www.iiste.org