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Runge-Kutta Methods of Higher Order for Solving Stiff Problems | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 16, Volume 5, Issue 2, 2008, Pages 11-27 PDF (363.07 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2008.163983 | ||
| Authors | ||
| Mohammed Mahmood Salih1; Basheer Salih2 | ||
| 1University of Mosul/College of Computer Sciences and Mathematics/Department of Computer Sciences | ||
| 2College of Education University of Mosul | ||
| Abstract | ||
| Our purpose in this research is the development of higher order Runge-Kutta methods for solving stiff systems. We have developed methods of order five, six, and seven. We studied their stability Region and applications for solving stiff systems. Then we developed the corresponding implicit forms of these methods and we analyzed their stability and implementation for solving stiff systems. | ||
| Keywords | ||
| Runge-Kutta methods of higher order; ordinary differential equations; stiff problems | ||
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