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
- Title
- 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
- Creator
- Derakhshan M.H.; Mortazavifar S.L.; Veeresha P.; Gez-Aguilar J.F.
- Description
- 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. 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.
- Source
- Physica Scripta, Vol-99, No. 9
- Date
- 2024-01-01
- Publisher
- Institute of Physics
- Subject
- Cattaneo model; Distributed-order derivative; Finite element method; Legendre spectral method; Stability analysis
- Coverage
- Derakhshan M.H., Department of Industrial Engineering, Apadana Institute of Higher Education, Shiraz, Iran, Zand Institute of Higher Education, Faculty of Engineering, Shiraz, 71887-73489, Iran; Mortazavifar S.L., Zand Institute of Higher Education, Faculty of Engineering, Shiraz, 71887-73489, Iran; Veeresha P., Department of Mathematics, CHRIST, Deemed to be University, Bengaluru, 560029, India; Gez-Aguilar J.F., Centro de Investigaci en Ingenier y Ciencias Aplicadas (CIICAp-IICBA), UAEM, Universidad Automa del Estado de Morelos, Cuernavaca, Mexico
- Rights
- Restricted Access
- Relation
- ISSN: 318949; CODEN: PHSTB
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Derakhshan M.H.; Mortazavifar S.L.; Veeresha P.; Gez-Aguilar J.F., “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,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 27, 2025, https://archives.christuniversity.in/items/show/12874.