Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation

In this paper, we present a novel high-order structure-preserving numerical scheme for solving the damped nonlinear space fractional Schrödinger equation (DNSFSE) in two spatial dimensions. The main idea of constructing new algorithm consists of two parts. Firstly, we introduce an auxiliary exponent...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 99; no. 3; p. 60
Main Authors:	Ding, Hengfei, Qu, Haidong, Yi, Qian
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2024 Springer Nature B.V
Subjects:	Algorithms Boundary conditions Computational Mathematics and Numerical Analysis Convergence Fourier transforms Iterative algorithms Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical analysis Partial differential equations Schrodinger equation Theoretical Iterative algorithm The damped nonlinear space fractional Schrödinger equations Structure-preserving algorithm Numerical differential formula 65M12 65M06
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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