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 doi: 10.1063/1.4954517

Abstract/Summary

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
URI	https://reading-clone.eprints-hosting.org/id/eprint/75138
Identification Number/DOI	10.1063/1.4954517
Refereed	No
Divisions	University of Reading Malaysia
Publisher	AIP
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