A comparison of modified runge-kutta formulas based on a variety of means

Abstract

Several modified third order Runge-Kutta formulas based on a variety of means are developed. The arithmetic mean (AM) formula which shortens the process of calculations does not yield the highest degree of accuracy obtained by using some of the new formulas. The accuracy of the new formulas are numerically tested and compared.

Keywords:

• Runge-Kutta formula
• heronian mean
• root-square mean
• centroidal mean
• contra harmonic mean

C.R Categories:

• G.1.7