Two-Parameter Exponentially Fitted Taylor Method for Oscillatory/Periodic Problems

This work presents the construction and implementation of a two-parameter exponentially fitted Taylor method suitable for solving ordinary differential equations that possess oscillatory or periodic behaviour. The methodology is based on a six-step algorithm discussed in the literature. We present the associated truncation error of the method and demonstrate its accuracy using two test cases. The method gave better results compared with its counterparts discussed in the literature.