Two Classes of Explicit Generalized Runge-Kutta Processes for Non-Stiff Systems of Ordinary Differential Equations

Day J.D. and Murthy D.N.P. (1981) Two Classes of Explicit Generalized Runge-Kutta Processes for Non-Stiff Systems of Ordinary Differential Equations. International Journal of Computer Mathematics, 9 3: 249-268. doi:10.1080/00207168108803247


Author Day J.D.
Murthy D.N.P.
Title Two Classes of Explicit Generalized Runge-Kutta Processes for Non-Stiff Systems of Ordinary Differential Equations
Journal name International Journal of Computer Mathematics   Check publisher's open access policy
ISSN 1029-0265
Publication date 1981-01-01
Sub-type Article (original research)
DOI 10.1080/00207168108803247
Open Access Status Not yet assessed
Volume 9
Issue 3
Start page 249
End page 268
Total pages 20
Subject 1703 Computational Theory and Mathematics
1706 Computer Science Applications
2604 Applied Mathematics
Abstract The computation of non-stiff systems of ordinary differential equations can be accomplished with explicit Runge-Kutta methods. A class of explicit Generalized Runge-Kutta is described which requires an accurate evaluation of a Jacobian at every step. Second and fourth order processes are also described. In addition a second class of explicit Generalized Runge-Kutta is introduced which requires that the Jacobian be evaluated less than once every step. Finally a third order process is described. It is shown that these methods lend themselves easily to the development of error estimators similar to those of Fehlberg or England.
Keyword Generalized Runge-Kutta method
non-stiff ordinary differential equations
Ordinary differential equations
Runge-Kutta method
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Citation counts: TR Web of Science Citation Count  Cited 5 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 4 times in Scopus Article | Citations
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