On unique solvability of nonlinear coupled systems
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, the unique solvability and numerical solution of coupled sine Gordon equations is considered. The variational method is implemented to obtain unique weak solution. A new hybrid numerical method which combines finite difference method and fixed point iteration is used to solve the generalized form of coupled sine-Gordon equations. The novel first order of accuracy stable difference scheme is employed with a fixed point iteration for the approximate solution of the nonlinear coupled system. Numerical experiments are presented with error analysis, to verify the accuracy of the proposed method.
Açıklama
Anahtar Kelimeler
Existence-uniqueness, Finite difference method, Fixed point theory
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Uzun, M. ve Yıldırım, Ö. (2019). On unique solvability of nonlinear coupled systems. International Conference of Mathematical Sciences (ICMS 2019). s. 136.
