Schrödinger problem with moving boundary

Version 1.0.1 (40.7 MB) by Bruno Alves do Carmo

Numerical solution of a Schrödinger problem with moving boundary using the linearized Crank-Nicolson Galerkin method.

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Updated 4 Jun 2025

The GIFs presented are supplementary results from the article: "Unconditional Convergence Analysis of a Schrödinger Problem with Moving Boundary."

Cite As

Bruno Alves do Carmo (2026). Schrödinger problem with moving boundary (https://www.mathworks.com/matlabcentral/fileexchange/167576-schrodinger-problem-with-moving-boundary), MATLAB Central File Exchange. Retrieved January 17, 2026.

Alfaro Vigo, Daniel G., et al. “Convergence Analysis of a Schrödinger Problem with Moving Boundary.” Mathematics and Computers in Simulation, vol. 238, Dec. 2025, pp. 45–64, https://doi.org/10.1016/j.matcom.2025.04.042.

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MATLAB Release Compatibility

Created with R2023b

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Acknowledgements

Inspired by: Numerical solution of a nonlinear thermoelastic system

Code

pde_readme.mlx

Code/1D

Code/2D

Version	Published	Release Notes
1.0.1	4 Jun 2025	Implementation of the numerical solution presented in https://doi.org/10.1016/j.matcom.2025.04.042 using Live Code File Format (.mlx).	Download
1.0.0	5 Jun 2024		Download

MLA	Alfaro Vigo, Daniel G., et al. “Convergence Analysis of a Schrödinger Problem with Moving Boundary.” Mathematics and Computers in Simulation, vol. 238, Dec. 2025, pp. 45–64, https://doi.org/10.1016/j.matcom.2025.04.042.
APA	Alfaro Vigo, D. G., Gomes, D. C. R., Carmo, B. A. do, & Rincon, M. A. (2025). Convergence analysis of a Schrödinger problem with moving boundary. Mathematics and Computers in Simulation, 238, 45–64. Elsevier BV. Retrieved from http://dx.doi.org/10.1016/j.matcom.2025.04.042
BibTeX	@article{Alfaro_Vigo_2025, title={Convergence analysis of a Schrödinger problem with moving boundary}, volume={238}, ISSN={0378-4754}, url={http://dx.doi.org/10.1016/j.matcom.2025.04.042}, DOI={10.1016/j.matcom.2025.04.042}, journal={Mathematics and Computers in Simulation}, publisher={Elsevier BV}, author={Alfaro Vigo, Daniel G. and Gomes, Daniele C.R. and do Carmo, Bruno A. and Rincon, Mauro A.}, year={2025}, month=dec, pages={45–64} }