Solving ordinary differential equation using fifth-order mean Runge-Kutta methods

Noorhelyna Razali, and Rokiah @ Rozita Ahmad , (2008) Solving ordinary differential equation using fifth-order mean Runge-Kutta methods. Journal of Quality Measurement and Analysis, 4 (1). pp. 81-88. ISSN 1823-5670

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This study is focused on constructing new fifth-order Runge-Kutta methods to solve ordinary differential equations. Existing classical third and fourth-order Runge-Kutta methods are utilized as the bases to obtain new fifth-order method by modification in stages using arithmetic mean. Computation to yield each parameter is needed and the results of the calculation produce new formula. These new methods are tested on ordinary differential equations and the results are compared with the analytical solution. Numerical solutions for the fifth-order Runge-Kutta methods are shown in terms of absolute error in order to compare the results. Mathematica 4.2 software has been used to determine the coefficients and to solve the ordinary differential equations

Item Type:Article
Keywords:Runge-Kutta Method; New Runge-Kutta Fifth-Order Method; Arithmetic Mean
Journal:Journal of Quality Measurement and Analysis
ID Code:1855
Deposited By: Ms. Nor Ilya Othman
Deposited On:15 Jun 2011 04:28
Last Modified:15 Jun 2011 04:28

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