Application of differential transform method and adomian decomposition method for solving of one nonlinear boundary-value-transmission problem
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Adomian decomposition method, Differential transform method, Approximate solution
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
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.
