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

DOI10.1007/S10915-024-02521-5MaRDI QIDQ6495868

Publication date: 2 May 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

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An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation
A second-order accurate numerical method for the two-dimensional fractional diffusion equation
A high-order compact finite difference scheme for the fractional sub-diffusion equation
A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
High-order numerical algorithms for Riesz derivatives via constructing new generating functions
On the continuum limit for discrete NLS with long-range lattice interactions
Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation
Analysis of the damped nonlinear space-fractional Schrödinger equation
Some physical applications of fractional Schrödinger equation
An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity
Theory and Numerical Approximations of Fractional Integrals and Derivatives
An Introduction to Iterative Toeplitz Solvers
Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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