Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource 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 Subject The topic of the resource Cattaneo model; Distributed-order derivative; Finite element method; Legendre spectral method; Stability analysis Description An account of the resource 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. Creator An entity primarily responsible for making the resource Derakhshan M.H.; Mortazavifar S.L.; Veeresha P.; Gez-Aguilar J.F. Source A related resource from which the described resource is derived Physica Scripta, Vol-99, No. 9 Publisher An entity responsible for making the resource available Institute of Physics Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1088/1402-4896/ad6d02" target="_blank" rel="noreferrer noopener">https://doi.org/10.1088/1402-4896/ad6d02</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85201868007&amp;doi=10.1088%2F1402-4896%2Fad6d02&amp;partnerID=40&amp;md5=7c45678867b3e81e70191af8d351c71c" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85201868007&amp;doi=10.1088%2f1402-4896%2fad6d02&amp;partnerID=40&amp;md5=7c45678867b3e81e70191af8d351c71c</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 318949; CODEN: PHSTB Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant 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