Malaysian Journal of Mathematical Sciences, September 2016, Vol. 10, No. 3
Weighted Block Runge-Kutta Method for Solving Stiff Ordinary Differential Equations
Saufianim Jana Aksah, Zarina Bibi Ibrahim, Yong Faezah Rahim, and Siti Nur Iqmal Ibrahim
Corresponding Email: zarinabb@upm.edu.my
Received date: -
Accepted date: -
Abstract:
In this paper, weighted block Runge-Kutta (WBRK) method is derived for solving stiff ordinary differential equations (ODEs). Implementation
of weights on the method and its stability region are shown. Numerical results of the WBRK method are presented and compared with the existing methods to prove the ability of the proposed method to solve stiff ODEs. The results show that the WBRK method has better accuracy
than the comparing methods.
Keywords: Runge-Kutta method, weights, block method, stiff ODEs, Centroidal mean
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