Finite difference method for the third-order partial differential equation with nonlocal boundary conditions
Küçük Resim Yok
Tarih
2019
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
The theory and applications of local and nonlocal boundary value problems for a third-order partial differential equations have been investigated widely in the literature. In the present work, we study the nonlocal boundary value problem, for third order partial differential equations in a Hilbert space H with a self-adjoint positive definite operator A.The main theorem on stability of this problem is established. The stability estimates for the solution of three problems for partial differential equations are obtained. Three-step difference schemes for the approximate solution of nonlocal boundary-value problem for the third-order partial differential equation are presented. Numerical experiments results are provided.
Açıklama
Anahtar Kelimeler
Nonlocal boundary-value problem, Third-order partial differential equation, Difference schemes, Numerical experience
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Ashyralyev, A. ve Belakroum, K. (2019). Finite difference method for the third-order partial differential equation with nonlocal boundary conditions. International Conference of Mathematical Sciences (ICMS 2019). s. 115.
