Comparison of local error estimators for runge-kutta formulae:

Abstract

A way is proposed to compare all the well-known explicit Runge-Kutta methods of fourth-order. The comparison is based on the local error estimators of these methods and it is applied for a class of linear ordinary differential equations of the form y′ = By + Ax + C, where A B C are constants.

Keywords:

• Linear ordinary differential equations
• explicit Runge-Kutta methods
• local error estimators
• step control algorithm
• function evaluations

C.R. Categories::

• 5.17