@Article{pakinsight,
AUTHOR = {},
TITLE = {On the Component Analysis and Transformation of An Explicit Fifth – Stage Fourth – Order Runge – Kutta Methods},
JOURNAL = {International Journal of Mathematical Research},
VOLUME = {4},
YEAR = {2015},
NUMBER = {2},
PAGES = {76-100},
URL = {http://www.pakinsight.com/archive/24/04-2015/2},
ISSN = {2306-2223},
ABSTRACT = {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.},
DOI = {10.18488/journal.24/2015.4.2/24.2.76.100}
}