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http://ir.futminna.edu.ng:8080/jspui/handle/123456789/5282| Title: | Fourth-order Four-stage Almost Runge-Kutta Methods for Initial Value Problems |
| Authors: | Ndanusa, Abdulrahman Muhammad, Raihanatu Abdulazeez, Zainab Ishaq |
| Keywords: | convergence; stability; order; consistency |
| Issue Date: | 2016 |
| Publisher: | School of Science and Technology Education, Federal University of Technology, Minna |
| Citation: | A. Ndanusa, R. Muhammad and Z. I. Abdulazeez (2016). Fourth-order Four-stage Almost Runge-Kutta Methods for Initial Value Problems. Proceedings of the 4th International Conference of School of Science and Technology Education, Federal University of Technology, Minna, Nigeria, pp. 111-116. |
| Abstract: | The process leading to the construction of Almost Runge-Kutta (ARK) methods is analysed, from whence two new methods of orders four with four stages are constructed after a thorough and careful assignment of values to the free parameters involved. Standard analysis established their convergence and thus effectiveness. Numerical experiments confirmed not just their effectiveness but also their efficiency as they proved to perform better than some existing methods. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/5282 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Ndanusa, Muhammad and Abdulazeez (2016).pdf | 1.25 MB | Adobe PDF | View/Open |
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