Journal Article

Trigonometrically Fitted Three Stage Third Order Improved Runge Kutta Method for Numerical Integration of IVPs with Oscillating Solutions

A. Ndanusa, A.U. Mustapha, A. Ibrahim & A.W. Abubakar

Abstract

In this paper, a new trigonometrically fitted Improved Runge-Kutta (TFIRK) method is constructed and implemented. The new method is based on an explicit three stage Improved Runge-Kutta (IRK) method of order three. The convergence of the method is established and numerical results from its application to oscillatory problems show the accuracy and computational efficiency of the scheme.

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