Numerical Approximation of Higher-Order Time-Fractional Telegraph Equation by Using a Combination of a Geometric Approach and Method of Line
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Hashemi, M. S. | |
| dc.date.accessioned | 2017-04-19T08:24:33Z | |
| dc.date.accessioned | 2025-09-18T12:10:02Z | |
| dc.date.available | 2017-04-19T08:24:33Z | |
| dc.date.available | 2025-09-18T12:10:02Z | |
| dc.date.issued | 2016 | |
| dc.description | Hashemi, Mir Sajjad/0000-0002-5529-3125 | en_US |
| dc.description.abstract | We propose a simple and accurate numerical scheme for solving the time fractional telegraph (TFT) equation within Caputo type fractional derivative. A fictitious coordinate v is imposed onto the problem in order to transform the dependent variable u(x, t) into a new variable with an extra dimension. In the new space with the added fictitious dimension, a combination of method of line and group preserving scheme (GPS) is proposed to find the approximate solutions. This method preserves the geometric structure of the problem. Power and accuracy of this method has been illustrated through some examples of TFT equation. (C) 2016 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.citation | Hashemi, M.S., Baleanu, D. (2016). Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line. Journal of Computational Pyhsics, 316, 10-20. http://dx.doi.org/10.1016/j.jcp.2016.04.009 | en_US |
| dc.identifier.doi | 10.1016/j.jcp.2016.04.009 | |
| dc.identifier.issn | 0021-9991 | |
| dc.identifier.issn | 1090-2716 | |
| dc.identifier.scopus | 2-s2.0-84962786777 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jcp.2016.04.009 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11584 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal of Computational Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Time-Fractional Telegraph Equation | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Fictitious Time Integration Method | en_US |
| dc.subject | Group Preserving Scheme | en_US |
| dc.subject | Method Of Line | en_US |
| dc.title | Numerical Approximation of Higher-Order Time-Fractional Telegraph Equation by Using a Combination of a Geometric Approach and Method of Line | en_US |
| dc.title | Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Hashemi, Mir Sajjad/0000-0002-5529-3125 | |
| gdc.author.scopusid | 56382731500 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hashemi, Mir Sajjad/M-4081-2015 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| 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 | [Hashemi, M. S.] Univ Bonab, Basic Sci Fac, Dept Math, POB 55517-61167, Bonab, Iran; [Baleanu, D.] Cankaya Univ, Dept Math, Ogretmenler Caddesi 14, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 20 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 10 | en_US |
| gdc.description.volume | 316 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2324311522 | |
| gdc.identifier.wos | WOS:000375799200002 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 25.0 | |
| gdc.oaire.influence | 6.269866E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Method of lines for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | group preserving scheme | |
| gdc.oaire.keywords | time-fractional telegraph equation | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | fictitious time integration method | |
| gdc.oaire.keywords | method of line | |
| gdc.oaire.keywords | Caputo derivative | |
| gdc.oaire.popularity | 2.865432E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 5.20445922 | |
| gdc.openalex.normalizedpercentile | 0.97 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 62 | |
| gdc.plumx.crossrefcites | 61 | |
| gdc.plumx.mendeley | 13 | |
| gdc.plumx.scopuscites | 67 | |
| gdc.publishedmonth | 7 | |
| gdc.scopus.citedcount | 69 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 67 | |
| 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 |