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Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients | ||
| Computational Methods for Differential Equations | ||
| مقاله 1، دوره 7، شماره 1، فروردین 2019، صفحه 1-15 اصل مقاله (175.55 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Jafar Biazar* ؛ Mohammad Ali Asadi | ||
| Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran | ||
| چکیده | ||
| In this paper, a modification of finite integration method (FIM) is combined with the radial basis function (RBF) method to solve a time-fractional convection-diffusion equation with variable coefficients. The FIM transforms partial differential equations into integral equations and this creates some constants of integration. Unlike the usual FIM, the proposed method computes constants of integration by using initial condi\-tions. This leads to fewer computations rather than the standard FIM. Also, a product Simpson method is used to overcome the singularity included in the definition of fractional derivatives, and an integration matrix is obtained. Some numerical examples are provided to show the efficiency of the method. In addition, a comparison is made between the proposed method and the previous ones. | ||
| کلیدواژهها | ||
| Time-fractional convection-diffusion equation؛ Radial basis functions؛ Finite integration method؛ Product Simpson integration method | ||
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آمار تعداد مشاهده مقاله: 960 تعداد دریافت فایل اصل مقاله: 1,044 |
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