A fourth order Runge–Kutta RK(4,4) method with error control

Abstract

In this paper a new Runge–Kutta RK(4,4) method with error control is introduced. The theory and analysis of its properties are investigated and compared with the more popular RK(4,5) method for the numerical solution of ordinary differential equations

Keywords:

• Runge–Kutta methods
• RK(4,4)
• RK(4,5)
• error control

^*Universiti Utara Malaysia, Malaya.

^*Corresponding author. Department of Computing, Nottingham Trent University, Burton St., Nottingham UK.

^*Universiti Utara Malaysia, Malaya.

^*Corresponding author. Department of Computing, Nottingham Trent University, Burton St., Nottingham UK.

Notes

^*Universiti Utara Malaysia, Malaya.

^*Corresponding author. Department of Computing, Nottingham Trent University, Burton St., Nottingham UK.