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Vanden, B.G., Meyer, H.D., Daele, M.V. and Hecke, T.V. (2000) Exponentially-Fitted Explicit Runge-Kutta Methods. Computer Physics Communications, 125, 107-115.

has been cited by the following article:

• 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.