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An efficient computational scheme for solving coupled time-fractional Schrödinger equation via cubic B-spline functions.
- Source :
- PLoS ONE, Vol 19, Iss 5, p e0296909 (2024)
- Publication Year :
- 2024
- Publisher :
- Public Library of Science (PLoS), 2024.
-
Abstract
- The time fractional Schrödinger equation contributes to our understanding of complex quantum systems, anomalous diffusion processes, and the application of fractional calculus in physics and cubic B-spline is a versatile tool in numerical analysis and computer graphics. This paper introduces a numerical method for solving the time fractional Schrödinger equation using B-spline functions and the Atangana-Baleanu fractional derivative. The proposed method employs a finite difference scheme to discretize the fractional derivative in time, while a θ-weighted scheme is used to discretize the space directions. The efficiency of the method is demonstrated through numerical results, and error norms are examined at various values of the non-integer parameter, temporal directions, and spatial directions.
Details
- Language :
- English
- ISSN :
- 19326203
- Volume :
- 19
- Issue :
- 5
- Database :
- Directory of Open Access Journals
- Journal :
- PLoS ONE
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.4d5463b8b48f41b9ba7d180a7b1f0d1e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1371/journal.pone.0296909&type=printable