On a mixed cubic-superlinear non radially symmetric Schr\"odinger system - Part II: Numerical solutions
Numerical Analysis
2018-05-16 v1
Abstract
In this paper a nonlinear coupled Schrodinger system in the presence of mixed cubic and superlinear power laws is considered. A non standard numerical method is developed to approximate the solutions in higher dimensional case. The idea consists in transforming the continuous system into an algebraic quasi linear dynamical discrete one leading to generalized semi-linear operators. Next, the discrete algebraic system is studied for solvability, stability, convergence and stability. At the final step, numerical examples are provided to illustrate the efficiency of the theoretical results.
Keywords
Cite
@article{arxiv.1805.05928,
title = {On a mixed cubic-superlinear non radially symmetric Schr\"odinger system - Part II: Numerical solutions},
author = {Abdurahman F. Aljohani and Anouar Ben Mabrouk},
journal= {arXiv preprint arXiv:1805.05928},
year = {2018}
}
Comments
15 pages