A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs
| Autor: | I. B. Aiguobasimwin, R. I. Okuonghae |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Article Subject
Applied Mathematics lcsh:Mathematics Stability (learning theory) Ode 010103 numerical & computational mathematics Interval (mathematics) Derivative lcsh:QA1-939 01 natural sciences 010101 applied mathematics Runge–Kutta methods Ordinary differential equation Applied mathematics Initial value problem 0101 mathematics Second derivative Mathematics |
| Zdroj: | Journal of Applied Mathematics, Vol 2019 (2019) J. Appl. Math. |
| ISSN: | 1687-0042 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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