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J. C. Butcher, “Numerical Methods for Ordinary Differential Equations in the 20th Century,” Journal of Computational and Applied Mathematics, Vol. 125, No. 1-2, 2000, pp. 1-29. doi:10.1016/S0377-0427(00)00455-6

has been cited by the following article:

• TITLE: A Three-Stage Multiderivative Explicit Runge-Kutta Method

  AUTHORS: Ashiribo Senapon Wusu, Moses Adebowale Akanbi, Solomon Adebola Okunuga

  KEYWORDS: Multiderivative; Autonomous; Rung-Kutta; Stability; Convergence; Initial Value Problems

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.2, June 24, 2013

  ABSTRACT: In recent years, the derivation of Runge-Kutta methods with higher derivatives has been on the increase. In this paper, we present a new class of three stage Runge-Kutta method with first and second derivatives. The consistency and stability of the method is analyzed. Numerical examples with excellent results are shown to verify the accuracy of the proposed method compared with some existing methods.