Article
On the Stability of Finite Difference Scheme for the Schrodinger Equation Including Momentum Operator
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Abstract
In this paper, we apply the finite difference method to a Schrodinger equation which contains a momentum operator. For this, we constitute a difference scheme. A priori estimate for the solution of difference scheme is obtained. By using this estimate, we prove that the difference scheme is unconditionally stable.
Keywords
Schrodinger equation, finite difference method, stability.
Citation
Aksoy, N. Y. & Sarıahmet, E. (2022). On the stability of finite difference scheme for the schrodinger equation including momentum operator. Turkish Journal of Science, 7(2), 107–115. https://doi.org/10.66833/TJOS-2022-0011
N. Y. Aksoy and E. Sarıahmet, “On the stability of finite difference scheme for the schrodinger equation including momentum operator,” Turkish Journal of Science, vol. 7, no. 2, pp. 107–115, 2022, doi: 10.66833/TJOS-2022-0011.
Aksoy NY, Sarıahmet E. On the stability of finite difference scheme for the schrodinger equation including momentum operator. Turkish Journal of Science. 2022;7(2):107–115. doi:10.66833/TJOS-2022-0011.
Aksoy, N. Y. and Sarıahmet, E. (2022), ‘On the stability of finite difference scheme for the schrodinger equation including momentum operator’, Turkish Journal of Science, 7(2), pp. 107–115. Available at: https://doi.org/10.66833/TJOS-2022-0011.
Aksoy, Nigar Yıldırım, and Emel Sarıahmet. “On the Stability of Finite Difference Scheme for the Schrodinger Equation Including Momentum Operator.” Turkish Journal of Science, vol. 7, no. 2, 2022, pp. 107–115. https://doi.org/10.66833/TJOS-2022-0011.
Aksoy, Nigar Yıldırım, and Emel Sarıahmet. “On the Stability of Finite Difference Scheme for the Schrodinger Equation Including Momentum Operator.” Turkish Journal of Science 7, no. 2 (2022): 107–115. https://doi.org/10.66833/TJOS-2022-0011.
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- DOI: 10.66833/tjos-2022-0011
- Type: article
- Source: Turkish Journal of Science
- Published: 2022-09-30
- OpenAlex ID: W4298099455
Published by: Engineering Journals
