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Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model
| dc.contributor.author | Nikan, O. | |
| dc.contributor.author | Avazzadeh, Z. | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.date.accessioned | 2021-09-29T14:31:05Z | |
| dc.date.embargo | 2031-12 | |
| dc.date.issued | 2021 | |
| dc.description.abstract | The generalized Cattaneo model describes the heat conduction system in the perspective of time-nonlocality. This paper proposes an accurate and robust meshless technique for approximating the solution of the time fractional Cattaneo model applied to the heat flow in a porous medium. The fractional derivative is formulated in the Caputo sense with order 1<α<2 . First, a finite difference technique of convergence order O(δt3−α) is adopted to achieve the temporal discretization. The unconditional stability of the method and its convergence are analysed using the discrete energy technique. Then, a local meshless method based on the radial basis function partition of unity collocation is employed to obtain a full discrete algorithm. The matrices produced using this localized scheme are sparse and, therefore, they are not subject to ill-conditioning and do not pose a large computational burden. Two examples illustrate in computational terms of the accuracy and effectiveness of the proposed method. | pt_PT |
| dc.description.sponsorship | The authors are appreciative for anonymous referees for their hard work reading the paper and for their recommendations to improve the manuscript. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.apm.2021.07.025 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.22/18627 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0307904X21003504 | pt_PT |
| dc.subject | Caputo fractional derivative | pt_PT |
| dc.subject | Fractional Cattaneo equation | pt_PT |
| dc.subject | RBF-PU | pt_PT |
| dc.subject | Finite difference | pt_PT |
| dc.subject | Stability | pt_PT |
| dc.subject | Convergence | pt_PT |
| dc.title | Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 124 | pt_PT |
| oaire.citation.startPage | 107 | pt_PT |
| oaire.citation.title | Applied Mathematical Modelling | pt_PT |
| oaire.citation.volume | 100 | pt_PT |
| person.familyName | Tenreiro Machado | |
| person.givenName | J. A. | |
| person.identifier.ciencia-id | 7A18-4935-5B29 | |
| person.identifier.orcid | 0000-0003-4274-4879 | |
| person.identifier.rid | M-2173-2013 | |
| person.identifier.scopus-author-id | 55989030100 | |
| rcaap.rights | embargoedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 82cd5c17-07b6-492b-b3e3-ecebdad1254f | |
| relation.isAuthorOfPublication.latestForDiscovery | 82cd5c17-07b6-492b-b3e3-ecebdad1254f |
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