Application of differential transform method and Adomian decomposition method for solving of one nonlinear boundary-value transmission problem
| dc.contributor.author | Yücel, Merve | |
| dc.contributor.author | Mukhtarov, Oktay | |
| dc.date.accessioned | 2020-01-31T08:47:04Z | |
| dc.date.available | 2020-01-31T08:47:04Z | |
| dc.date.issued | 2019 | en_US |
| dc.department | Hitit Üniversitesi, Osmancık Ömer Derindere Meslek Yüksekokulu, Büro Hizmetleri ve Sekreterlik | |
| dc.description.abstract | In this study, we will found the approximate solution of one nonlinear boundary-value-transition problem by using Adomian Decomposition Method and Differential Transform Method. Namely we investigate the nonlinear differential equation,y ''(x) + y(2)(x) = lambda y(x), x is an element of[1,2)boolean OR(2,3] subject to boundary conditions y(1) = y(3) = 0 and additional transmission conditions at the interior singular point x = 2, given by y(2 - 0) = gamma(1)y(2 + 0), y'(2 - 0) = gamma(2)y'(2 + 0). We obtain that using both Adomian Decomposition Method and Differential Transform Method it is possible to express analytic solutions of nonlinear boundary-value-transmission problem in terms of series without linearization, discretization or perturbation techniques. | |
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| dc.description.provenance | Made available in DSpace on 2020-01-31T08:47:04Z (GMT). No. of bitstreams: 1 merve-yucel2019.pdf: 390182 bytes, checksum: ac58bb6abaa4382a3f0b5a3d00561ba8 (MD5) Previous issue date: 2019 | en |
| dc.identifier.citation | Yücel, M., Mukhtarov, O. (2019, December). Application of differential transform method and Adomian decomposition method for solving of one nonlinear boundary-value-transmission problem. In AIP Conference Proceedings (Vol. 2183, No. 1, p. 090011). AIP Publishing LLC. | |
| dc.identifier.doi | 10.1063/1.5136211 | |
| dc.identifier.isbn | 978-0-7354-1930-8 | |
| dc.identifier.issn | 0094-243X | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.uri | https://doi.org/10.1063/1.5136211 | |
| dc.identifier.uri | https://hdl.handle.net/11491/5673 | |
| dc.identifier.volume | 2183 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Amer Inst Physics | |
| dc.relation.ispartof | Third International Conference Of Mathematical Sciences (Icms 2019) | |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Adomian Decomposition Method | en_US |
| dc.subject | Differential Transform Method | en_US |
| dc.subject | Approximate Solution | en_US |
| dc.title | Application of differential transform method and Adomian decomposition method for solving of one nonlinear boundary-value transmission problem | |
| dc.type | Conference Object |
