A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem
Küçük Resim Yok
Tarih
2021
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, nonlocal boundary value Schr¨odinger type problem in a Hilbert space with the self-adjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes for the numerical solution of this problem are presented. The main theorems on the stability of these difference schemes are established. In application, theorem on the stability of difference schemes for nonlocal boundary value problems for Schr¨odinger equations is proved. Numerical results are given.
Açıklama
Anahtar Kelimeler
Difference schemes, stability, problem, Schrödinger problem
Kaynak
Fourth International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Ashyralyev, A. ve Sirma, A. (2021). A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-5.