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

Yusuf Dauda Jikantoro; Fudziah Ismail; Norazak Senu and Mohamed Suleiman

doi:10.17485/ijst/2016/v9i48/109318

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

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i48/109318

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

Original Article

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

Yusuf Dauda Jikantoro^*, Fudziah Ismail, Norazak Senu and Mohamed Suleiman

Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia; [email protected], [email protected], [email protected]

*Author for correspondence
Yusuf Dauda Jikantoro
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang Selangor, Malaysia; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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