# New third order Runge Kutta based on contraharmonic mean for stiff problems

Osama Yusuf Ababneh, Rokiah @ Rozita Ahmad

Research output: Contribution to journalArticle

6 Citations (Scopus)

### Abstract

In this paper we introduce an explicit one-step method that can be used for solving stiff problems. This method can be viewed as a modification of the explicit third order runge-kutta method using the contraharmonic mean (CoM) that allows rducing the stiffiness in some sense. The stability of the method is analyzed and numerical results shown to verify the conclusions.numerical examples indicate that this method is superior compared to some existing methods including the third and fourth order contraharmonic mean methods, ABM method, classical third order Runge-Kutta, and Wazwaz method.

Original language English 365-376 12 Applied Mathematical Sciences 3 8 Published - 2009

### Fingerprint

Stiff Problems
Runge Kutta methods
Runge-Kutta
Third-order Method
One-step Method
Explicit Methods
Runge-Kutta Methods
Fourth Order
Verify
Numerical Examples
Numerical Results

### Keywords

• Contraharmonic mean
• ODE solver
• Runge-Kutta method
• Stiff problems

### ASJC Scopus subject areas

• Applied Mathematics

### Cite this

In: Applied Mathematical Sciences, Vol. 3, No. 8, 2009, p. 365-376.

Research output: Contribution to journalArticle

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