Numerical Solution of Schrodinger Equation by Crank-Nicolson Method

被引：0

作者：

Khan, Amin ^{[1
]}

Ahsan, Muhammad ^{[1
]}

Bonyah, Ebenezer ^{[2
]}

Jan, Rashid ^{[1
]}

Nisar, Muhammad ^{[3
,4
]}

Abdel-Aty, Abdel-Haleem ^{[5
,6
]}

Yahia, Ibrahim S. ^{[7
,8
,9
]}

机构：

[1] King Khalid Univ, Dept Phys, Fac Sci, POB 9004, Abha, U Arab Emirates

[2] Akenten Appiah Menka Univ Skills Traning & Enterp, Dept Math Educ, Kumasi, Ghana

[3] Macquaire Univ Sydney, Dept Math Statiscs, Sydney, NSW 2109, Australia

[4] FATA Univ Bisha, Dept Math, Darra Adam Khel 26100, Pakistan

[5] Univ Bisha, Dept Phys, Coll Sci, POB 344, Bisha 61922, Saudi Arabia

[6] Al Azhar Univ, Phys Dept, Fac Sci, Assiut 71524, Egypt

[7] King Khalid Univ, Dept Phys, Lab Nano Smart Mat Sci & Technol LNSMST, Fac Sci, POB 9004, Abha 61413, Saudi Arabia

[8] King Khalid Univ, Res Ctr Adv Mat Sci RCAMS, POB 9004, Abha 61413, Saudi Arabia

[9] Ain Shams Univ, Dept Phys, Semicond Lab, Nanosci Lab Environm & Biomed Applicat NLEBA, Cairo 11757, Egypt

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷

关键词：

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, we implemented the well-known Crank-Nicolson scheme for the numerical solution of Schrodinger equation. The numerical results converge to the exact solution because the Crank-Nicolson scheme is unconditionally stable and accurate. We have compared the results for different parameters with analytical solution, and it is found that the Crank-Nicolson scheme is suitable for the numerical solution of Schrodinger equations. Three different problems are included to verify the accuracy, stability, and capability of the Crank-Nicolson scheme.

引用

页数：11

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