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

Authors

  • Jalil Rashidinia School of Mathematics‎, ‎Iran University of Science and Technology‎, ‎Narmak‎, ‎Tehran 168613114‎, ‎Iran Author
  • Ali Parsa School of Mathematics‎, ‎Iran University of Science and Technology‎, ‎Narmak‎, ‎Tehran 168613114‎, ‎Iran Author
  • Raheleh Salehi School of Mathematics‎, ‎Iran University of Science and Technology‎, ‎Narmak‎, ‎Tehran 168613114‎, ‎Iran Author

DOI:

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

Keywords:

Rayleigh-Stokes problem, Fractional calculus, Sinc method, Sinc quadrature, RBFs

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

2016-12-20

How to Cite

Approximate solution of the two-dimensional Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. (2016). Journal of Zankoy Sulaimani - Part A, 18(4), 219-230. https://doi.org/10.17656/jzs.10578

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