Savanna Journal of Basic and Applied Sciences 1(1):20 - 29
On Exponentially Fitted Improved Runge-Kutta Method of Order Five for Solving Oscillatory Problems
Isah I. O. and Ndanusa A.

An exponentially fitted Improved Runge-Kutta (IRK) method with 5 stages is constructed. The new method integrates exactly differential equations where the solution is oscillatory, that is, whose solutions can be expressed as linear combinations of the set of functions. Analysis of algebraic order of the new method indicates that it is of order five like the classical five stages IRK method. Numerical experiments established the effectiveness and efficiency of the exponentially fitted method over the non-fitted method.