Analytic Solution for a Nonlinear Problem of Magneto-Thermoelasticity
| dc.contributor.author | Ghaderi, P. | |
| dc.contributor.author | Golmankhaneh, Alireza K. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Jafarian, A. | |
| dc.date.accessioned | 2020-05-13T10:10:44Z | |
| dc.date.accessioned | 2025-09-18T12:48:56Z | |
| dc.date.available | 2020-05-13T10:10:44Z | |
| dc.date.available | 2025-09-18T12:48:56Z | |
| dc.date.issued | 2013 | |
| dc.description | Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | en_US |
| dc.description.abstract | In this paper, we present a comparative study of the homotopy analysis method (HAM), the variational iteration method (VIM) and the iterative method (He's polynomials). The approximate solution of the coupled harmonic waves nonlinear magneto-thermoelasticity equations under influence of rotation is obtained. In order to control and adjust the convergence region and the rate of solution series, we show that it is possible to choose a valid auxiliary parameter h of HAM. Using the boundary and the initial conditions we select a suitable initial approximation. The results show that these methods are very efficient, convenient and applicable to a large class of problems. | en_US |
| dc.identifier.citation | Jafarian, A...et al. (2020). "Analytic Solution for A Nonlinear Problem of Magneto-Thermoelasticity",Reports On Mathematical Physics, Vol. 71, No. 3. | en_US |
| dc.identifier.doi | 10.1016/S0034-4877(13)60039-7 | |
| dc.identifier.issn | 0034-4877 | |
| dc.identifier.scopus | 2-s2.0-84879996536 | |
| dc.identifier.uri | https://doi.org/10.1016/S0034-4877(13)60039-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12201 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Reports on Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Variational Iteration Method | en_US |
| dc.subject | Approximate Solution | en_US |
| dc.subject | H-Curve | en_US |
| dc.subject | Nonlinear Coupled Magneto-Thermoelasticity | en_US |
| dc.title | Analytic Solution for a Nonlinear Problem of Magneto-Thermoelasticity | en_US |
| dc.title | Analytic Solution for A Nonlinear Problem of Magneto-Thermoelasticity | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | , Alireza/0000-0002-3490-7976 | |
| gdc.author.id | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jafarian, A.; Ghaderi, P.] Islamic Azad Univ, Dept Math, Urmia Branch, Orumiyeh, Iran; [Golmankhaneh, Alireza K.] Islamic Azad Univ, Dept Phys, Urmia Branch, Oromiyeh, Iran; [Baleanu, D.] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.] Inst Space Sci, R-76900 Magurele, Romania | en_US |
| gdc.description.endpage | 411 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 399 | en_US |
| gdc.description.volume | 71 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Thermal effects in solid mechanics | |
| gdc.oaire.keywords | Electromagnetic effects in solid mechanics | |
| gdc.oaire.keywords | Nonlinear elasticity | |
| gdc.oaire.keywords | homotopy analysis method | |
| gdc.oaire.keywords | variational iteration method | |
| gdc.oaire.keywords | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics | |
| gdc.oaire.keywords | approximate solution | |
| gdc.oaire.keywords | \(h\)-curve | |
| gdc.oaire.keywords | nonlinear coupled magneto-thermoelasticity | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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