An efficient hybrid approach for numerical study of two-dimensional time-fractional Cattaneo model with Riesz distributed-order space-fractional operator along with stability analysis

被引:6
作者
Derakhshan, M. H. [1 ,2 ]
Mortazavifar, S. L. [2 ]
Veeresha, P. [3 ]
Gomez-Aguilar, J. F. [4 ]
机构
[1] Apadana Inst Higher Educ, Dept Ind Engn, Shiraz, Iran
[2] Zand Inst Higher Educ, Fac Engn, Shiraz 7188773489, Iran
[3] CHRIST, Dept Math, Bengaluru 560029, India
[4] UAEM Univ Autonoma Estado Morelos, Ctr Invest Ingn & Ciencias Aplicadas CIICAp IICBA, Cuernavaca, Mexico
关键词
Finite element method; Stability analysis; Cattaneo model; Legendre spectral method; Distributed-order derivative; MASS-TRANSFER FLOW; DIFFERENCE SCHEME; SPECTRAL METHOD; POROUS-MEDIUM; EQUATION; NANOFLUID;
D O I
10.1088/1402-4896/ad6d02
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this article, we study and analyze the two-dimensional time-fractional Cattaneo model with Riesz space distributed-order. To obtain approximate solutions of this type of fractional model the combined and effective numerical approach based on the ADI Galerkin method and the Legendre spectral method used the ADI Galerkin numerical method uses the finite difference approach. The ADI Galerkin numerical method is used to approximate the proposed model in terms of the time variable, and the Legendre spectral method is applied to discretize the fractional model with respect to the space variable. Also, the convergence analysis and stability of the proposed method are discussed and reviewed in this manuscript. In the end, some numerical examples are tested for the effectiveness and accuracy of the proposed method. As well as, in the numerical examples section, the presented numerical approach is compared with two numerical methods and the results are reported in a table.
引用
收藏
页数:18
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