An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations

DOI10.1016/J.CPC.2013.01.019zbMath1301.65096OpenAlexW1983290475MaRDI QIDQ463022

Lu-Ming Zhang, Shan-shan Wang

Publication date: 23 October 2014

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.01.019

zbMATH Keywords

convergenceRunge-Kutta methodnumerical experimentnonlinear Schrödinger equationscompact finite difference methodsplit-step methodmultidimensionalcubic-quintic complex Ginzburg-Landau equation

Mathematics Subject Classification ID

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Ginzburg-Landau equations (35Q56)

Related Items (7)

An efficient split-step compact finite difference method for the coupled Gross–Pitaevskii equations ⋮ An unconditionally stable linearized CCD-ADI method for generalized nonlinear Schrödinger equations with variable coefficients in two and three dimensions ⋮ A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation ⋮ An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations ⋮ Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation ⋮ GPU-advanced 3D electromagnetic simulations of superconductors in the Ginzburg-Landau formalism ⋮ Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions

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