New runge kutta starters for multistep methods

Abstract

In this paper the use of new improved fourth and fifth order linear and nonlinear Runge-Kutta methods in starting procedures for the well known k step multistep methods is shown to give greater accuracy in the application to problems involving discontinuities and severe gradients where the stepsize is frequently changed

Keywords:

• Nonlinear Runge-Kutta
• multistep methods
• means

^∗University Utara Malaysia.

^∗∗Corresponding author: Nottingham Trent University.

^∗University Utara Malaysia.

^∗∗Corresponding author: Nottingham Trent University.

Notes

^∗University Utara Malaysia.

^∗∗Corresponding author: Nottingham Trent University.