A conservative spectral collocation method for the nonlinear Schrödinger equation in two dimensions

DOI10.1016/J.AMC.2017.04.035zbMath1427.65314OpenAlexW2613320246MaRDI QIDQ1739957

Jiang Zhu, Rongpei Zhang, Abimael Fernando Dourado Loula, Ming-jun Li, Xi-Jun Yu

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.04.035

zbMATH Keywords

nonlinear Schrödinger equationconservationspectral collocation methodcompact integration factor method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme ⋮ Unconditional \(L^{\infty }\)-convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions ⋮ A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations ⋮ Smooth quintic spline approximation for nonlinear Schrödinger equations with variable coefficients in one and two dimensions ⋮ Numerical simulation of a generalized nonlinear derivative Schrödinger equation ⋮ A conservative local discontinuous Galerkin method for the solution of nonlinear Schrödinger equation in two dimensions ⋮ A conservative numerical method for the fractional nonlinear Schrödinger equation in two dimensions

Uses Software

• Matlab

Cites Work

• Unnamed Item
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