文章基本信息

标题：Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes’ first problem for a heated generalized second grade fluid
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作者：Mohamed A Abdelkawy ; Rubayyi T Alqahtani
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：114
DOI：10.1186/s13662-016-0845-z
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：fractional order Stokes’ first problem ; collocation method ; spectral method ; Gauss-Radau quadrature ; Gauss-Lobatto quadrature