Galerkin methods for the numerical solution of the Schrödinger equation by using trigonometric B-splines
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Miskolc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
SciVal Topics Funding details Abstract This paper includes four finite element methods which are based on quadratic, cubic, quartic and quintic trigonometric B-spline functions for space discretization and Crank-Nicolson method for time discretization, to be achieved the numerical solution of the Schrödinger equation (SE). The algorithms obtained by different degrees trigonometric B-spline Galerkin methods are new for getting numerical solution of the SE. To see the accuracy of the proposed methods, two numerical experiments are investigated and the comparison of the methods are given in the test problem section.
Açıklama
Anahtar Kelimeler
Cubic Trigonometric b-spline Function, Galerkin Finite Element Method, Quadratic Trigonometric b-spline Function, Schrödinger Equation
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
23
Sayı
1
