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

Advances in Difference Equations

Mohamed A Abdelkawy¹  Rubayyi T Alqahtani² 

[1] Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia;Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

关键词: fractional order Stokes’ first problem;    collocation method;    spectral method;    Gauss-Radau quadrature;    Gauss-Lobatto quadrature;   

DOI  :  10.1186/s13662-016-0845-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY