TITLE:
Exponentially-Fitted 2-Step Simpson’s Method for Oscillatory/Periodic Problems
AUTHORS:
Ashiribo Senapon Wusu, Bosede Alfred Olufemi, Akanbi Moses Adebowale
KEYWORDS:
Exponentially-Fitted, Simpson Method, Oscillatory, Periodic, ODE
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.2,
February
26,
2016
ABSTRACT: Following a six-step flow chart, exponentially-fitted variant of the 2-step Simpson’s method suitable for solving ordinary differential equations with periodic/oscillatory behaviour is constructed. The qualitative properties of the constructed methods are also investigated. Numerical experiments on standard problems confirming the theoretical expectations regarding the constructed methods compared with other existing standard methods are also presented. Our results unify and improve the existing classical 2-step Simpson’s method.