@article {
author = {Mockary, Siavash and Vahidi, Alireza and Babolian, Esmail},
title = {An efficient approximate solution of Riesz fractional advection-diffusion equation},
journal = {Computational Methods for Differential Equations},
volume = {10},
number = {2},
pages = {307-319},
year = {2022},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {10.22034/cmde.2021.41690.1815},
abstract = {The Riesz fractional advection-diffusion is a result of the mechanics of chaotic dynamics. It’s of preponderant importance to solve this equation numerically. Moreover, the utilization of Chebyshev polynomials as a base in several mathematical equations shows the exponential rate of convergence. To this approach, we transform the interval of state space into the interval [−1, 1] × [−1, 1]. Then, we use the operational matrix to discretize fractional operators. Applying the resulting discretization, we obtain a linear system of equations, which leads to the numerical solution. Examples show the effectiveness of the method.},
keywords = {Operational matrices,Chebyshev polynomials,fractional partial differential equations,Riesz fractional advection-diffusion},
url = {https://cmde.tabrizu.ac.ir/article_12721.html},
eprint = {https://cmde.tabrizu.ac.ir/article_12721_1cb3cc01abce405e339fc8c370263ba6.pdf}
}