A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs
Joint Authors
Aiguobasimwin, I. B.
Okuonghae, R. I.
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Aiguobasimwin, I. B.& Okuonghae, R. I.. 2019. A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1168840
Modern Language Association (MLA)
Aiguobasimwin, I. B.& Okuonghae, R. I.. A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs. Journal of Applied Mathematics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1168840
American Medical Association (AMA)
Aiguobasimwin, I. B.& Okuonghae, R. I.. A Class of Two-Derivative Two-Step Runge-Kutta Methods for Non-Stiff ODEs. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1168840
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168840