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A 2(3) pair pseudo Runge-Kutta method for delay differential equation

Lim, T. H. (2016) A 2(3) pair pseudo Runge-Kutta method for delay differential equation. AIP conference proceedings, 1750 (1). 020004. ISSN 0094-243X

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To link to this item DOI: 10.1063/1.4954517


Although explicit pseudo Runge-Kutta methods are less popular than explicit Runge-Kutta methods (because they need two initial values), they are less expensive in terms of functional evaluation. In the past, research has been done in constructing high order pseudo Runge-Kutta methods. In this paper, a low order embedded pair of pseudo Runge-Kutta method will be presented. First, a third order method is constructed by minimizing the error norm follow by constructing a second order method. The stability of the new method is studied. A number of test problems are solved by the new method. The numerical results are shown and compared with the existing method.

Item Type:Article
Divisions:University of Reading Malaysia
ID Code:75138

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