Miskolc Mathematical Notes, vol.23, no.1, pp.363-380, 2022 (SCI-Expanded)
Article / Article
Miskolc Mathematical Notes
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
Schr?dinger equation, Galerkin finite element method, quadratic trigonometric B-spline function, cubic trigonometric B-spline function, quartic trigonometric B-spline function, quintic trigonometric B-spline function, FINITE-ELEMENT-METHOD
Eskisehir Osmangazi University Affiliated:
© 2022. Miskolc University PressThis 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.