Title of article
an efficient approximate solution of riesz fractional advection-diffusion equation
Author/Authors
mockary, siavash islamic azad university, yadegar-e-imam khomeini (rah) shahr-e-rey branch - college of science - department of mathematics, tehran, iran , vahidi, alireza islamic azad university, yadegar-e-imam khomeini (rah) shahr-e-rey branch - college of science - department of mathematics, tehran, iran , babolian, esmail kharazmi university - faculty of mathematical sciences and computer, tehran, iran
From page
307
To page
319
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
Journal title
Computational Methods for Differential Equations
Journal title
Computational Methods for Differential Equations
Record number
2704830
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