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Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes' first problem for a heated generalized second grade fluid
Journal article   Open access  Peer reviewed

Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes' first problem for a heated generalized second grade fluid

Mohamed A. Abdelkawy and Rubayyi T. Alqahtani
Advances in difference equations, Vol.2016(1), pp.1-17
26/04/2016
DOI: https://doi.org/10.1186/s13662-016-0845-z

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper reports a new spectral collocation technique for solving fractional Stokes' first problem for a heated generalized second grade fluid (FSFP-HGSGF). We develop a collocation scheme to approximate FSFP-HGSGF by means of the shifted Jacobi-Gauss-Lobatto collocation (SJ-GL-C) and shifted Jacobi-Gauss-Radau collocation (SJ-GR-C) methods. The discussed numerical tests illustrate the capability and high accuracy of the proposed methodologies.
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https://doi.org/10.1186/s13662-016-0845-zView
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