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Dr. Abdelhameed Mohamed Abdelhameed Nagy :: Publications: |
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| Title: | On the Numerical Treatment of a Coupled Nonlinear System of Fractional Differential Equations |
| Authors: | N. H. Sweilam; A. M. Nagy; Mahmoud M. Mokhtar |
| Year: | 2017 |
| Keywords: | Caputo derivative; Coupled system of fractional differential equations; Error analysis; Shifted third kind Chebyshev wavelets; Wavelets collocation methods |
| Journal: | Journal of Computational and Theoretical Nanoscience |
| Volume: | 14 |
| Issue: | 2 |
| Pages: | 1184-1189 |
| Publisher: | American Scientific Publishers |
| Local/International: | International |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, a spectral scheme based on the shifted third kind Chebyshev wavelets collocation methods (3SCWCM) is introduced to study numerically a coupled nonlinear system of fractionaldifferential equations. The fractional derivative is defined in the Caputo sense. Error analysis and some illustrative examples are included to illustrate the efficiency of the proposed method. |
