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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;
Sinc quadrature;
RBFs.
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