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On a novel modification of the Legendre collocation method for solving fractional diffusion equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 11، دوره 7، شماره 3، مهر 2019، صفحه 480-496 اصل مقاله (333.81 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Hosein Jaleb1؛ Hojatollah Adibi* 2 | ||
| 1Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University Of Technology, Tehran, Iran | ||
| چکیده | ||
| In this paper, a modification of the Legendre collocation method is used for solving the space fractional differential equations. The fractional derivative is considered in the Caputo sense along with the finite difference and Legendre collocation schemes. The numerical results obtained by this method have been compared with other methods. The results show the capability and efficiency of the proposed method. | ||
| کلیدواژهها | ||
| Fractional diffusion equation؛ Caputo derivative؛ Fractional Riccati differential equation؛ Finite difference؛ Collocation؛ Legendre polynomials | ||
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آمار تعداد مشاهده مقاله: 545 تعداد دریافت فایل اصل مقاله: 510 |
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