• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2016, Volume: 9, Issue: 48, Pages: 1-7

Original Article

Improved Extended Runge-Kutta-like Method for Solving First Order IVPs


In this research, we proposed a family of improved extended Runge-Kutta-like methods which incorporate the function as well as the derivative of the function for the numerical integration of autonomous and non-autonomous ordinary differential equations. The proposed methods are more accurate than the existing methods in the literature and acquire bigger regions of stability. Numerical examples illustrating the computational accuracy are presented and the stability regions are also shown.

Keywords: Absolute Error, Absolute Stability, Extended Runge-Kutta, Ordinary Differential Equations


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