TITLE:
New Solutions to Nonlinear Ordinary Differential Equations
AUTHORS:
Moawia Alghalith
KEYWORDS:
Ordinary Differential Equations ODE, Euler's Method
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.1,
January
29,
2011
ABSTRACT: In contrast to the Euler method and the subsequent methods, we provide solutions to nonlinear ordinary differential equations. Consequently, our method does not require convergence. We apply our method to a second-order nonlinear ordinary differential equation ODE. However, the method is applicable to higher order ODEs.