@Article{JICS-16-122,
author = {Tang , Dongsheng},
title = {An Explicit Finite Difference Scheme for Solving the Space Fractional Nonlinear Schrödinger Equation},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {16},
number = {2},
pages = {122--125},
abstract = {<p style="text-align: justify;">This paper uses the finite difference method to numerically solve the space fractional nonlinear
Schrodinger equation. First, we give some properties of the fractional Laplacian $Δ_h^\alpha.$ Then we construct a
numerical scheme which satisfies the mass conservation law without proof and the scheme’s order is
$o(\tau^2+h^2)$ in the discrete $L^\infty$ norm. Moreover, The scheme conserves the mass conservation and is
unconditionally stable about the initial values. Finally, this article gives a numerical example to verify the
relevant properties of the scheme.</p>},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22370.html}
}