Open AccessLie group and RK4 for solving nonlinear first order ODEs
Author(s) -
Sami H. Altoum
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v5i2.6033
Subject(s) - mathematics , ode , lie group , ordinary differential equation , nonlinear system , group (periodic table) , order (exchange) , partial differential equation , mathematical analysis , differential equation , pure mathematics , chemistry , physics , organic chemistry , finance , quantum mechanics , economics
This paper deals with a numerical comparison between Lie group method and RK4 for solving an nonlinear ordinary differential equation. The Lie group method will be introduced as a analytical method and then compared to RK4 as a numerical method. Some examples will be considered and the global error we be computed numerically.