Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations

DOI10.1080/00207160.2017.1322692zbMath1499.65439OpenAlexW2611286832MaRDI QIDQ5028605

Jialing Wang, Yu Shun Wang

Publication date: 10 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1322692

zbMATH Keywords

error estimatecoupled nonlinear Schrödinger equationsFourier pseudospectral methodCrank-Nicolsonleap-frog scheme

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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