Crank-Nicolson scheme for a logarithmic Schrödinger equation

Authors

  • Mariem Abidi Author
  • Olivier Goubet Author
  • Véronique Martin Author

Abstract

We discuss here a classical Crank-Nicolson numerical scheme to approximate the solutions of a nonlinear equation Schrödinger that reads

\[u_t-i\partial_x\left( \nu(x)\partial_x u\right)-iu\log |u|^2=0.\]

Downloads

Published

19-09-2022

Issue

No. 8 (2022)

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Abidi , M., Goubet, O., & Martin , V. (2022). Crank-Nicolson scheme for a logarithmic Schrödinger equation. North-Western European Journal of Mathematics, 8, 165-186. https://nwejm.univ-lille.fr/index.php/nwejm/article/view/14