Numerical Solution of Schrödinger Equation by Crank–Nicolson Method

Amin Khan, Muhammad Ahsan, Ebenezer Bonyah, Rashid Jan, Muhammad Nisar, Abdel-Haleem Abdel-Aty, Ibrahim S. Yahia and Nagarajan Deivanayagampillai

Mathematical Problems in Engineering, 2022, vol. 2022, 1-11

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6991067

DOI: 10.1155/2022/6991067

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