Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg–Landau equation with fractional Laplacian in unbounded domain

Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations

(2020) Lu Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg–Landau equations

(2019) Wei Zeng et al.   APPLIED MATHEMATICS LETTERS

Galerkin‐Legendre spectral method for the nonlinear Ginzburg‐Landau equation with the Riesz fractional derivative

(2019) Mingfa Fei et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg–Landau equation

(2018) Pengde Wang et al.   BIT NUMERICAL MATHEMATICS

An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg–Landau equations

(2018) Nan Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An unconditionally stable linearized difference scheme for the fractional Ginzburg-Landau equation

(2018) Dongdong He et al.   NUMERICAL ALGORITHMS

Fast and high-order numerical algorithms for the solution of multidimensional nonlinear fractional Ginzburg-Landau equation

(2018) Akbar Mohebbi   European Physical Journal Plus

An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian

(2018) Meng Li et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Hermite Spectral Methods for Fractional PDEs in Unbounded Domains

(2017) Zhiping Mao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg–Landau equation

(2016) Alain Mvogo et al.   Communications in Nonlinear Science and Numerical Simulation

An implicit midpoint difference scheme for the fractional Ginzburg–Landau equation

(2016) Pengde Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A linearized high-order difference scheme for the fractional Ginzburg-Landau equation

(2016) Zhao-peng Hao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS