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2019 A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs
I. B. Aiguobasimwin, R. I. Okuonghae
J. Appl. Math. 2019: 1-9 (2019). DOI: 10.1155/2019/2459809

Abstract

In this paper, a new class of two-derivative two-step Runge-Kutta (TDTSRK) methods for the numerical solution of non-stiff initial value problems (IVPs) in ordinary differential equation (ODEs) is considered. The TDTSRK methods are a special case of multi-derivative Runge-Kutta methods proposed by Kastlunger and Wanner (1972). The methods considered herein incorporate only the first and second derivatives terms of ODEs. These methods possess large interval of stability when compared with other existing methods in the literature. The experiments have been performed on standard problems, and comparisons were made with some standard explicit Runge-Kutta methods in the literature.

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I. B. Aiguobasimwin. R. I. Okuonghae. "A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs." J. Appl. Math. 2019 1 - 9, 2019. https://doi.org/10.1155/2019/2459809

Information

Received: 23 December 2018; Accepted: 30 April 2019; Published: 2019
First available in Project Euclid: 24 July 2019

zbMATH: 07132113
MathSciNet: MR3957518
Digital Object Identifier: 10.1155/2019/2459809

Rights: Copyright © 2019 Hindawi

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