Spectral Solutions for a Class of Nonlinear Wave Equations With Riesz Fractional Based on Legendre Collocation Technique
| dc.contributor.author | Abdelkawy, M. A. | |
| dc.contributor.author | Soluma, E. M. | |
| dc.contributor.author | Al-Dayel, Ibrahim | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2024-01-26T07:54:11Z | |
| dc.date.accessioned | 2025-09-18T12:49:02Z | |
| dc.date.available | 2024-01-26T07:54:11Z | |
| dc.date.available | 2025-09-18T12:49:02Z | |
| dc.date.issued | 2023 | |
| dc.description | Abdelkawy, Mohamed/0000-0002-9043-9644; Al_Dayel, Ibrahim/0000-0002-5901-2511 | en_US |
| dc.description.abstract | A numerical investigation is presented in this work for a class of Riesz space-fractional nonlinear wave equations (MD-RSFN-WEs). The presence of a spatial Laplacian of fractional order, stated by fractional Riesz derivatives, is taken into consideration by the model. The fractional wave equation governs mechanical diffusive wave propagation in viscoelastic medium with power-law creep and, as a result, gives a physical under-standing of this equation within the context of dynamic viscoelasticity. To deal with the independent variables, a totally spectral collocation approach is used. Our approach has shown to be more precise, efficient, and practical for the present model. The findings demonstrated that the spectral scheme is exponentially convergent.(c) 2022 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University; [RG-21-09-04] | en_US |
| dc.description.sponsorship | Acknowledgments The authors extend their appreciation to the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University for funding this work through Research Group no. RG-21-09-04. | en_US |
| dc.identifier.citation | Abdelkawy M.A.;...et.al. (2023). "Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique", Journal of Computational and Applied Mathematics, Vol.423. | en_US |
| dc.identifier.doi | 10.1016/j.cam.2022.114970 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-85147001603 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2022.114970 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12234 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Journal of Computational and Applied Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Nonlinear Wave Equations | en_US |
| dc.subject | Spectral Collocation Method | en_US |
| dc.subject | Riesz Fractional | en_US |
| dc.subject | Shifted Legendre Gauss-Radau Quadrature | en_US |
| dc.subject | Shifted Legendre Gauss-Lobatto Quadrature | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Shifted Legendre Gauss–Lobatto Quadrature | |
| dc.subject | Shifted Legendre Gauss–Radau Quadrature | |
| dc.title | Spectral Solutions for a Class of Nonlinear Wave Equations With Riesz Fractional Based on Legendre Collocation Technique | en_US |
| dc.title | Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Abdelkawy, Mohamed/0000-0002-9043-9644 | |
| gdc.author.id | Al_Dayel, Ibrahim/0000-0002-5901-2511 | |
| gdc.author.scopusid | 56704936300 | |
| gdc.author.scopusid | 26028140800 | |
| gdc.author.scopusid | 57210289746 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Abdelkawy, M/Aeb-7974-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Solouma, Emad/ADF-3688-2022 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdelkawy, M. A.; Soluma, E. M.; Al-Dayel, Ibrahim] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math & Stat, Riyadh, Saudi Arabia; [Abdelkawy, M. A.; Soluma, E. M.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung 40402, Taiwan | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 114970 | |
| gdc.description.volume | 423 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4310018766 | |
| gdc.identifier.wos | WOS:000901593300007 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 3.0 | |
| gdc.oaire.influence | 2.575521E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | Nonlinear constitutive equations for materials with memory | |
| gdc.oaire.keywords | nonlinear wave equations | |
| gdc.oaire.keywords | Nonlinear waves in solid mechanics | |
| gdc.oaire.keywords | Numerical quadrature and cubature formulas | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Riesz fractional | |
| gdc.oaire.keywords | Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | shifted Legendre Gauss-Radau quadrature | |
| gdc.oaire.keywords | shifted Legendre Gauss-Lobatto quadrature | |
| gdc.oaire.keywords | PDEs in connection with mechanics of deformable solids | |
| gdc.oaire.keywords | spectral collocation method | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.popularity | 4.349746E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.6837 | |
| gdc.openalex.normalizedpercentile | 0.65 | |
| gdc.opencitations.count | 1 | |
| gdc.plumx.crossrefcites | 2 | |
| gdc.plumx.mendeley | 2 | |
| gdc.plumx.scopuscites | 5 | |
| gdc.publishedmonth | 5 | |
| gdc.scopus.citedcount | 5 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 4 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |