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 | 2024-07-12T20:54:54Z | |
| dc.date.available | 2024-07-12T20:54:54Z | |
| dc.date.issued | 2019 | en_US |
| dc.department | Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi | en_US |
| dc.description.abstract | In this study, we will find 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) = ?y(x), x ? [1, 2) ? (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) = ?1y(2 + 0), y? (2 ? 0) = ?2y ? (2 + 0). We obtain that using both Adomian Decomposition Method and Differential Transform Method, it is possible to express analytic solutions of nonlinear boundary-valuetransmission problem in terms of series without linearization, discretization or perturbation techniques. | en_US |
| dc.identifier.citation | Yücel, M. ve Mukhtarov, O. (2019). Application of differential transform method and adomian decomposition method for solving of one nonlinear boundary-value-transmission problem. International Conference of Mathematical Sciences (ICMS 2019). s. 173. | en_US |
| dc.identifier.endpage | 174 | en_US |
| dc.identifier.isbn | 978-605-2124-29-1 | |
| dc.identifier.startpage | 173 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2825 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences (ICMS 2019) | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY01386 | |
| 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 | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
