A numerical scheme for space-time fractional advection-dispersion equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 37، دوره 7، شماره 2، 2016، صفحه 331-343 اصل مقاله (425.02 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1129.1249 | ||
| نویسندگان | ||
| Shahnam Javadi* 1؛ Mostafa Jani2؛ Esmail Babolian2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran | ||
| چکیده | ||
| In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed into a linear system of algebraic equations. Matrix formulation, error analysis and order of convergence of the proposed method are also discussed. Some numerical experiments are presented to demonstrate the effectiveness of the proposed method and to confirm the analytic results. | ||
| کلیدواژهها | ||
| Advection-dispersion equation؛ Space-time fractional PDE؛ Bernstein polynomials؛ Product integration؛ Spectral-collocation | ||
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