Approximate solution of the two-dimensional Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives

Volume 18 , Issue 4 , December 2016 , Pages 219-230

Authors

Jalil Rashidinia 1 ; Ali Parsa 1 ; Raheleh Salehi 1

1 School of Mathematics‎, ‎Iran University of Science and Technology‎, ‎Narmak‎, ‎Tehran 168613114‎, ‎Iran

DOI logo 10.17656/jzs.10578

Keywords

Abstract

In this paper, a scheme based on Sinc and radial basis functions (RBF) is developed to approximate the solution of two-dimensional Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives‎. We use RBF and Sinc functions as basis functions to approximate spatial and time coordinates of the unknown function‎, respectively‎. ‎The error analysis is studied and discussed‎. An illustrative example verifies the effectiveness of our method and shows that one can obtain accurate results with only a small number of basis functions‎.

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  • Published at20 December 2016

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