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

Jalil Rashidinia, Ali Parsa, Raheleh Salehi

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

DOI: https://doi.org/10.17656/jzs.10578

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.

Key Words:
Rayleigh-Stokes problem;
Fractional calculus;
Sinc method;
RBFs.

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