# Solving Lorenz system by using Runge-Kutta method

Research output: Contribution to journalArticle

3 Citations (Scopus)

### Abstract

In this study, the classical fourth-order Runge-Kutta method is modified to obtain new methods which are of order five. The methods are tested on the Lorenz system which involves the chaotic and nonchaotic characteristics. The modified fifth-order methods using arithmetic mean are compared with another method with the same order. Comparisons between the methods are made in two step sizes and the accuracy of all the methods are discussed. Mathematica and Matlab softwares are used to solve the Lorenz system and sketch the graphical solutions of the chaotic and non-chaotic system.

Original language English 241-251 11 European Journal of Scientific Research 32 2 Published - 2009

### Fingerprint

Runge Kutta methods
Lorenz System
Runge-Kutta Methods
methodology
Mathematica
MATLAB
Fourth Order
method
Software
software

### Keywords

• Arithmetic Mean
• Harmonic Mean
• Lorenz System
• Modified Fifth-Order Runge-Kutta Method

• General

### Cite this

In: European Journal of Scientific Research, Vol. 32, No. 2, 2009, p. 241-251.

Research output: Contribution to journalArticle

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