TY  - EJOU
AU  - 
T1  - On the Component Analysis and Transformation of An Explicit Fifth – Stage Fourth – Order Runge – Kutta Methods
T2  - International Journal of Mathematical Research

PY  - 2015
VL  - 4
IS  - 2
SN  - 2306-2223

AB  - This work is designed to transform the fifth 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 is because the rooted trees and derived equations for the y derivatives and x,y derivatives are the same for the explicit fourth-stage fourth-order methods, hence, we are motivated to analyze the fifth-stage fourth-order method. This idea is also derivable from general graphs and combinatorics.
KW  - 
DO  - 10.18488/journal.24/2015.4.2/24.2.76.100