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Solutions of Nonlinear Systems by Reproducing Kernel Method

dc.contributor.author Khan, Yasir
dc.contributor.author Akgul, Esra Karatas
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Al Qurashi, Maysaa Mohamed
dc.contributor.author Akgul, Ali
dc.date.accessioned 2019-12-18T10:35:54Z
dc.date.accessioned 2025-09-18T15:43:15Z
dc.date.available 2019-12-18T10:35:54Z
dc.date.available 2025-09-18T15:43:15Z
dc.date.issued 2017
dc.description Khan, Yasir/0000-0002-6386-6181 en_US
dc.description.abstract A novel approximate solution is obtained for viscoelastic fluid model by reproducing kernel method (RKM). The resulting equation for viscoelastic fluid with magneto-hydrodynamic flow is transformed to the nonlinear system by introducing the dimensionless variables. Results are presented graphically to study the efficiency and accuracy of the reproducing kernel method. Results show that this method namely RKM is an efficient method for solving nonlinear system in any engineering field. (C) 2017 All rights reserved. en_US
dc.description.sponsorship International Scientific Partnership Program ISPP at King Saud University [ISPP 63]; Interreg [ISPP] Funding Source: Interreg en_US
dc.description.sponsorship The authors extend their appreciation to the International Scientific Partnership Program ISPP at King Saud University for funding this research work through ISPP 63. en_US
dc.identifier.citation Akgul, Ali...et al. (2017). Solutions of nonlinear systems by reproducing kernel method, Solutions of nonlinear systems by reproducing kernel method, 10(8), 4408-4417. en_US
dc.identifier.doi 10.22436/jnsa.010.08.33
dc.identifier.issn 2008-1898
dc.identifier.issn 2008-1901
dc.identifier.uri https://doi.org/10.22436/jnsa.010.08.33
dc.identifier.uri https://hdl.handle.net/20.500.12416/13906
dc.language.iso en en_US
dc.publisher int Scientific Research Publications en_US
dc.relation.ispartof The Journal of Nonlinear Sciences and Applications
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Reproducing Kernel Method en_US
dc.subject Series Solutions en_US
dc.subject Nonlinear Systems en_US
dc.title Solutions of Nonlinear Systems by Reproducing Kernel Method en_US
dc.title Solutions of nonlinear systems by reproducing kernel method tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Khan, Yasir/0000-0002-6386-6181
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Akgül, Ali/F-3909-2019
gdc.author.wosid Khan, Yasir/Aae-4544-2020
gdc.author.yokid 56389
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gdc.coar.access open access
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gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Akgul, Ali] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey; [Khan, Yasir] Univ Hafr Al Batin, Dept Math, TR-31991 Hafr Al Batin, Turkey; [Akgul, Esra Karatas] Canakkale Onsekiz Mart Univ, Gelibolu Piri Reis Vocat Sch, TR-17100 Canakkale, Turkey; [Baleanu, Dumitru] Cankaya Univ, Art & Sci Fac, Dept Math & Comp Sci, TR-06300 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Dept Math, Bucharest, Romania; [Al Qurashi, Maysaa Mohamed] King Saud Univ, Dept Math, Riyadh 12364, Saudi Arabia en_US
gdc.description.endpage 4417 en_US
gdc.description.issue 8 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.startpage 4408 en_US
gdc.description.volume 10 en_US
gdc.description.woscitationindex Science Citation Index Expanded
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gdc.oaire.keywords series solutions
gdc.oaire.keywords Reproducing kernel method
gdc.oaire.keywords nonlinear systems
gdc.oaire.keywords Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)
gdc.oaire.keywords Boundary value problems for mixed-type systems of PDEs
gdc.oaire.keywords Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
gdc.oaire.keywords Other numerical methods in solid mechanics
gdc.oaire.keywords reproducing kernel method
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gdc.opencitations.count 21
gdc.plumx.crossrefcites 3
gdc.plumx.mendeley 2
gdc.virtual.author Baleanu, Dumitru
gdc.wos.citedcount 23
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