TY - JOUR
T1 - Numerical solution of Schrödinger equation by Crank–Nicolson method
AU - Khan, Amin
AU - Ahsan, Muhammad
AU - Bonyah, Ebenezer
AU - Jan, Rashid
AU - Nisar, Muhammad
AU - Abdel-Aty, Abdel-Haleem
AU - S. Yahia, Ibrahim
N1 - Copyright © 2022 Amin Khan et al. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.
PY - 2022/4/14
Y1 - 2022/4/14
N2 - In this study, we implemented the well-known Crank–Nicolson scheme for the numerical solution of Schrödinger 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 Schrödinger equations. Three different problems are included to verify the accuracy, stability, and capability of the Crank–Nicolson scheme.
AB - In this study, we implemented the well-known Crank–Nicolson scheme for the numerical solution of Schrödinger 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 Schrödinger equations. Three different problems are included to verify the accuracy, stability, and capability of the Crank–Nicolson scheme.
UR - http://www.scopus.com/inward/record.url?scp=85129201161&partnerID=8YFLogxK
U2 - 10.1155/2022/6991067
DO - 10.1155/2022/6991067
M3 - Article
SN - 1563-5147
VL - 2022
SP - 1
EP - 11
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 6991067
ER -