Application of differential transform method and Adomian decomposition method for solving of one nonlinear boundary-value transmission problem
Yükleniyor...
Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Adomian Decomposition Method, Differential Transform Method, Approximate Solution
Kaynak
Third International Conference Of Mathematical Sciences (Icms 2019)
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
2183
Sayı
Künye
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.
