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A split-step finite element method for the space-fractional Schrödinger equation in two dimensions

Abstract In this article, we propose a split-step finite element method (FEM) for the two-dimensional nonlinear Schrödinger equation (NLS) with Riesz fractional derivatives in space. The space-fractional NLS is first spatially discretized by finite element scheme and the semi-discrete variational sc...

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Bibliographic Details
Main Authors: Xiaogang Zhu, Haiyang Wan, Yaping Zhang
Format: Artigo
Language:Inglês
Published: Nature Portfolio 2024-10-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-024-75547-2
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