Publicação
Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics
| dc.contributor.author | Nikan, O. | |
| dc.contributor.author | Machado, J. A. Tenreiro | |
| dc.contributor.author | Avazzadeh, Z. | |
| dc.contributor.author | Jafari, H. | |
| dc.date.accessioned | 2021-12-07T10:49:31Z | |
| dc.date.available | 2021-12-07T10:49:31Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This paper deals with approximating the time fractional Tricomi-type model in the sense of the Caputo derivative. The model is often adopted for describing the anomalous process of nearly sonic speed gas dynamics. The temporal semi-discretization is computed via a finite difference algorithm, while the spatial discretization is obtained using the local radial basis function in a finite difference mode. The local collocation method approximates the differential operators using a weighted sum of the function values over a local collection of nodes (named stencil) through a radial basis function expansion. This technique considers merely the discretization nodes of each subdomain around the collocation node. This leads to sparse systems and tackles the ill-conditioning produced of global collocation. The theoretical convergence and stability analyses of the proposed time semi-discrete scheme are proved by means of the discrete energy method. Numerical results confirm the accuracy and efficiency of the new approach. | pt_PT |
| dc.description.sponsorship | The authors are very grateful to the reviewers for their valuable comments on the manuscript that led to many improvements. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.jare.2020.06.018 | pt_PT |
| dc.identifier.issn | 2090-1232 | |
| dc.identifier.uri | http://hdl.handle.net/10400.22/19004 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S2090123220301272 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.subject | Caputo fractional derivative | pt_PT |
| dc.subject | Time fractional Tricomi-type model | pt_PT |
| dc.subject | LRBF-FD | pt_PT |
| dc.subject | Stability analysis | pt_PT |
| dc.title | Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 216 | pt_PT |
| oaire.citation.startPage | 205 | pt_PT |
| oaire.citation.title | Journal of Advanced Research | pt_PT |
| oaire.citation.volume | 25 | 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 | openAccess | 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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