A NUMERICAL SOLUTION FOR THE FRACTIONAL RAYLEIGH-STOKES PROBLEM BY SPACE-TIME RADIAL BASIS FUNCTIONS

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Noghrei Nafiseh; KERAYECHIAN ASGHAR; Soheili Alireza

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ISSN: 2588-4824

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Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2021 | Volume:7 | Issue:32 Page(s): 139-152

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Title

A NUMERICAL SOLUTION FOR THE FRACTIONAL RAYLEIGH-STOKES PROBLEM BY SPACE-TIME RADIAL BASIS FUNCTIONS

Author(s)

Noghrei Nafiseh | KERAYECHIAN ASGHAR | Soheili Alireza | Issue Writer Certificate

Keywords

Fractional calculus

Sinc quadrature rule

Single exponential transformation

Gaussian radial basis function

Space-time formulation

Abstract

In this paper, we approximate the solution of two-dimensional Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. This approximation is based on the space-time radial basis functions (RBFs) and the Sinc quadrature rule. In this method, we use Gaussian radial basis function and don't distinguish between time and place variables and the collocation points have both the coordinates of time and space. We use the Sinc quadrature rule with Single exponential transformation to approximate the integral part of fractional derivatives. The chosen fractional derivatives is Riemann – Liouville. This method is implemented on two examples with different values of the fractional derivative order. Obtained results illustrate the effectiveness of our method and sh ow that one can obtain accurate results with a small number of the collocation points for the radial basis function. It should be noted that all calculations in this paper have been done using Mathematica software.

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APA: Copy

Noghrei, Nafiseh, KERAYECHIAN, ASGHAR, & Soheili, Alireza. (2021). A NUMERICAL SOLUTION FOR THE FRACTIONAL RAYLEIGH-STOKES PROBLEM BY SPACE-TIME RADIAL BASIS FUNCTIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 7(32 ), 139-152. SID. https://sid.ir/paper/950252/en

Vancouver: Copy

Noghrei Nafiseh, KERAYECHIAN ASGHAR, Soheili Alireza. A NUMERICAL SOLUTION FOR THE FRACTIONAL RAYLEIGH-STOKES PROBLEM BY SPACE-TIME RADIAL BASIS FUNCTIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;7(32 ):139-152. Available from: https://sid.ir/paper/950252/en

IEEE: Copy

Nafiseh Noghrei, ASGHAR KERAYECHIAN, and Alireza Soheili, “A NUMERICAL SOLUTION FOR THE FRACTIONAL RAYLEIGH-STOKES PROBLEM BY SPACE-TIME RADIAL BASIS FUNCTIONS,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 7, no. 32 , pp. 139–152, 2021, [Online]. Available: https://sid.ir/paper/950252/en

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