A Three-Stage Multiderivative Explicit Runge-Kutta Method

Ashiribo Senapon Wusu, Moses Adebowale Akanbi, Solomon Adebola Okunuga

Department of Mathematics, Lagos State University, Lagos, Nigeria.
Department of Mathematics, University of Lagos, Lagos, Nigeria.

DOI: 10.4236/ajcm.2013.32020                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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