This paper explains the methods of Runge-Kutta, Adams-Bashforth and Bullruch-Stoer for approximating the solution of a first order initial value problem, and the Numerov method for appromating the solution for a class of second-order linear initial value problems. Mathematica is used to derive some of the formulas, solve the example equations, and plot the solutions.
@article{1661,
title = {Numerical Solutions of Ordinary Differential Equations},
journal = {CUBO, A Mathematical Journal},
volume = {6},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/1661}
}
Mezzino, Michael J. Numerical Solutions of Ordinary Differential Equations. CUBO, A Mathematical Journal, Tome 6 (2004) . http://gdmltest.u-ga.fr/item/1661/