Stability and convergence of Dufort-Frankel-type difference schemes for a nonlinear Schrödinger-type equation
✍ Scribed by F. Ivanauskas; M. Radžiūnas
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 686 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0363-1672
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In this article, a finite difference scheme for coupled nonlinear Schrödinger equations is studied. The existence of the difference solution is proved by Brouwer fixed point theorem. With the aid of the fact that the difference solution satisfies two conservation laws, the finite difference solution
## Abstract We develop a simple Dufort‐Frankel‐type scheme for solving the time‐dependent Gross‐Pitaevskii equation (GPE). The GPE is a nonlinear Schrödinger equation describing the Bose‐Einstein condensation (BEC) at very low temperature. Three different geometries including 1D spherically symmetr