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http://repository.futminna.edu.ng:8080/jspui/handle/123456789/2106| Title: | Fourth order trigonometrically-fitted improved Runge-Kutta method |
| Authors: | Ndanusa, Abdulrahman Mustapha, Aliyu Umar |
| Keywords: | improved Runge–kutta method, initial value problem, oscillatory solution, trigonometrically – fitted, Taylor series |
| Issue Date: | 2017 |
| Publisher: | School of Physical Sciences, Federal University of Technology Minna |
| Citation: | A. Ndanusa and A. U. Mustapha (2017). Fourth order trigonometrically-fitted improved Runge-Kutta method. Proceedings of the 1st School of Physical Sciences Biennial International Conference, Federal University of Technology, Minna, Nigeria, pp. 130-143.. |
| Abstract: | A trigonometrically - fitted fourth order Improved Runge – Kutta (IRK) method whose coefficients depend on the frequency and step – size is constructed. The method is applied to solve sample initial value problems (IVPs) with oscillatory solutions. Numerical results obtained are compared with those of the non - fitted IRK method of the same order. The comparison shows that the trigonometrically fitted method is much more effective and efficient than the non – fitted method, with similar cost. |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/2106 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Ndanusa and Mustapha (2017).pdf | 3.57 MB | Adobe PDF | View/Open |
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