Solving the two-dimensional time-dependent Schrödinger equation using the Sinc collocation method and double exponential transformations

被引：1
作者：
Elgharbi, S. [1 ]
Essaouini, M. [1 ,2 ]
Abouzaid, B. [1 ,3 ]
Safouhi, H. [4 ]
机构：
[1] Mohammed V Univ, Fac Sci, Lab Math Comp Sci & Applicat Secur Informat, Rabat, Morocco
[2] Chouaib Doukkali Univ, Fac Sci, Dept Math, El Jadida, Morocco
[3] Chouaib Doukkali Univ, Natl Sch Appl Sci, Lab Engn Sci Energy, El Jadida, Morocco
[4] Univ Alberta, Campus St Jean,8406 91 St, Edmonton, AB T6C 4G9, Canada
来源：
APPLIED NUMERICAL MATHEMATICS | 2025年 / 208卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Two-dimensional time dependent Schr & ouml; dinger; equation; Sinc collocation method; Double exponential transformation; BOUNDARY-VALUE PROBLEM; SCHRODINGER-EQUATION; NUMERICAL-SOLUTION; GALERKIN METHOD; EIGENVALUES; SCHEMES; COMPUTATION;
D O I：
10.1016/j.apnum.2024.04.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Over the last four decades, Sinc methods have occupied an important place in numerical analysis due to their simplicity and great performance. An incorporation of the Sinc collocation method with double exponential transformation is used to solve the two-dimensional time dependent Schr & ouml;dinger equation. Numerical comparison between the double exponential and single exponential approaches is made to illustrate the superiority of the double exponential Sinc method.
引用
收藏
页码：222 / 231
页数：10
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