Variational Iteration Method as a Kernel Constructive Technique
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Deng, Zhen-Guo | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2017-03-29T10:56:16Z | |
| dc.date.accessioned | 2025-09-18T15:44:18Z | |
| dc.date.available | 2017-03-29T10:56:16Z | |
| dc.date.available | 2025-09-18T15:44:18Z | |
| dc.date.issued | 2015 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | The variational iteration method newly plays a crucial role in establishing new integral equations. The Lagrange multipliers of the method serve kernel functions of the Volterra integral equations. A concept of an optimal integral equation is proposed. Then nonlinear examples are used to show the strategy's efficiency. (C) 2014 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | National Natural Science Foundation of China [11301257]; National Basic Research Program of China [2011CB201201]; Guangxi Natural Science Foundation [2013GXNSFBA019021]; Scientific Research Foundation of GuangXi University [XBZ120542 2013] | en_US |
| dc.description.sponsorship | This work was financially supported by the National Natural Science Foundation of China (Grant No. 11301257), the National Basic Research Program of China (Grant No. 2011CB201201), the Guangxi Natural Science Foundation (Grant No. 2013GXNSFBA019021) and the Scientific Research Foundation of GuangXi University (Grant No. XBZ120542 2013). | en_US |
| dc.identifier.citation | Wu, G:C., Baleanu, D., Deng, Z.G. (2015). Variational iteration method as a kernel constructive technique. Applied Mathematical Modelling, 39(15), 4378-4384. http://dx.doi.org/10.1016/j.apm.2014.12.032 | en_US |
| dc.identifier.doi | 10.1016/j.apm.2014.12.032 | |
| dc.identifier.issn | 0307-904X | |
| dc.identifier.issn | 1872-8480 | |
| dc.identifier.scopus | 2-s2.0-84937637828 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apm.2014.12.032 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14243 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematical Modelling | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Variational Iteration Method | en_US |
| dc.subject | Volterra Integral Equation | en_US |
| dc.subject | Duffing Equation | en_US |
| dc.subject | Numerical Solution | en_US |
| dc.title | Variational Iteration Method as a Kernel Constructive Technique | en_US |
| dc.title | Variational iteration method as a kernel constructive technique | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641112, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Deng, Zhen-Guo] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China | en_US |
| gdc.description.endpage | 4384 | en_US |
| gdc.description.issue | 15 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 4378 | en_US |
| gdc.description.volume | 39 | en_US |
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| gdc.oaire.keywords | numerical solution | |
| gdc.oaire.keywords | Duffing equation | |
| gdc.oaire.keywords | variational iteration method | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Volterra integral equation | |
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