eJMT Abstract

In this paper, we will present a unified numerical technique for the order verification of the error in numerical methods. Four examples are presented to illustrate the approach which include the order verification of the errors in Taylor polynomial approximation, the 5-point forward numerical differentiation formula, the composite Simpson method, and the 4-stage explicit Runge-Kutta method. The approach is very convenient for teaching the order of various numerical methods at the undergraduate level and is suitable for utilizing technology as a tool.