A third order trigonometrically fitted improved Runge-Kutta method for oscillatory problems

Abstract

This research is concerned about improving the numerical solution of initial value problems with oscillatory solutions by trigonometrically fitting a third order Improved Runge Kutta (IRK) method with coefficients that are dependent on the frequency and step- size. Numerical experiments with sample problems compared the results of the proposed trigonometrically fitted third order three stage IRK method,IRK32 is more efficient in terms of fewer number of function evaluations and accurate in terms of small errors than non fitted IRK method of same order.