A numerical scheme for space-time fractional advection-dispersion equation

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Javadi Shahnam; JANI MOSTAFA; Babolian Esmail

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2016 | Volume:7 | Issue:2 Page(s): 331-343

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Title

A numerical scheme for space-time fractional advection-dispersion equation

Author(s)

Javadi Shahnam | JANI MOSTAFA | Babolian Esmail | Issue Writer Certificate

Keywords

Advection-dispersion equation

Space-time fractional PDE

Bernstein polynomials

Product integration

Spectral-collocation

Abstract

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.

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APA: Copy

Javadi, Shahnam, JANI, MOSTAFA, & Babolian, Esmail. (2016). A numerical scheme for space-time fractional advection-dispersion equation. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 7(2), 331-343. SID. https://sid.ir/paper/340728/en

Vancouver: Copy

Javadi Shahnam, JANI MOSTAFA, Babolian Esmail. A numerical scheme for space-time fractional advection-dispersion equation. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2016;7(2):331-343. Available from: https://sid.ir/paper/340728/en

IEEE: Copy

Shahnam Javadi, MOSTAFA JANI, and Esmail Babolian, “A numerical scheme for space-time fractional advection-dispersion equation,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 7, no. 2, pp. 331–343, 2016, [Online]. Available: https://sid.ir/paper/340728/en

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