In science, engineering, and technology most of these applications contain
one or two systems of ordinary differential equations. Many of these differential
equations can't be solved using the traditional analytical method called symbolic
methods. In these cases numerical or approximate methods will be used instead. In
the present chapter, some elementary basic numerical methods for solving one, two
and higher ordinary differential equations as well as system of ordinary differential
equations will be presented with illustrative examples.
Keywords: Euler method, Modified Euler, Runge-Kutta method, Taylor series
method.
