Quantum solutions of a nonlinear Schrodinger equation
Analysis of PDEs
2022-10-18 v1
Abstract
In the present paper, we precisely conduct a q-calculus method for the numerical solutions of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical discretization methods we consider subdomains according to q-calculus, and provide an approximate solution due to a specific value of the parameter q. Error estimates show that q-calculus may produce efficient numerical solutions for PDEs.
Cite
@article{arxiv.2210.08626,
title = {Quantum solutions of a nonlinear Schrodinger equation},
author = {Sabrine Arfaoui},
journal= {arXiv preprint arXiv:2210.08626},
year = {2022}
}