S., A. Agam and Y., A. Yahaya (2014) A highly efficient implicit Runge-Kutta method for first order ordinary differential equations. African Journal of Mathematics and Computer Science Research, 7 (5). pp. 55-60. ISSN 2006-9731
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Abstract
In this paper we develop a more efficient three-stage implicit Runge-Kutta method of order 6 for solving first order initial value problems of ordinary differential equations. Collocation method is used to derive Continuous schemes in which both the interpolation and collocation points are at perturbed Gaussian points. This gives a higher order scheme, which is more efficient and stable than the existing similar ones. Simple linear problems are used to check its level of accuracy and stability.
Item Type: | Article |
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Subjects: | Euro Archives > Medical Science |
Depositing User: | Managing Editor |
Date Deposited: | 13 Sep 2023 04:42 |
Last Modified: | 13 Sep 2023 04:42 |
URI: | http://publish7promo.com/id/eprint/3032 |