Modifying Runge – Kutta methods with higher order derivative approximations | ||
| Journal of Education and Science | ||
| Article 10, Volume 19, Issue 2, March 2007, Pages 84-98 PDF (105.04 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/edusj.1970.162998 | ||
| Authors | ||
| Bashir M. Khlaf* 1; Ghanim Ghanim M.S. Abdullah2 | ||
| 1Dept. of Computer Science, College of Education, Mosul University, Mosul, Iraq | ||
| 2Dept. of Mathematics, College of Education, Mosul University, Mosul, Iraq | ||
| Abstract | ||
| In this paper, we modify some sort of Runge-Kutta methods developed by David and Olin which needless function evaluation than ordinary corresponding Runge-Kutta methods. We improve the stability region of these methods by adding a suitable term for the formulas of the methods. We have shown these improvements theoretically and practically. | ||
| Keywords | ||
| Runge – Kutta methods; higher order derivative; stability region | ||
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