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Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation | |
| International Journal of Industrial Mathematics | |
| دوره 13، شماره 1، فروردین 2021، صفحه 1-13 اصل مقاله (484.12 K) | |
| نوع مقاله: Research Paper | |
| نویسندگان | |
S. Gholami 1؛ E. Babolian  2؛ M. Javidi3
| |
| 1Department of Mathematics, East Tehran Branch, Islamic Azad University, Tehran, Iran. | |
| 2Faculty of Mathematical Sciences and Computer, Kharazmy University, Tehran, Iran. | |
| 3Department of Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | |
| چکیده | |
| This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed. | |
| کلیدواژهها | |
| Grunwald-Letnikov Derivative؛ Pseudo-Spectral Integration Matrix؛ Gauss-Lobatto Points؛ Fractional Fokker-Planck Equation | |
| مراجع | |
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