A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator

DOI10.1016/j.apnum.2021.11.005zbMath1486.65111OpenAlexW3211924546MaRDI QIDQ2073939

Samira Labidi, Khaled Omrani

Publication date: 3 February 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.11.005

zbMATH Keywords

stabilityconvergencesolvabilityconservationhigh order difference schemenonlinear Schrödinger equation with wave operator

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) Finite difference methods for boundary value problems involving PDEs (65N06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa-Holm equation ⋮ Efficient and accurate numerical methods for nonlinear strongly damped wave equation in 2+1 dimensions ⋮ Higher-order energy-preserving difference scheme for the fourth-order nonlinear strain wave equation ⋮ Unconditional optimal error estimates and superconvergence analysis of energy-preserving FEM for general nonlinear Schrödinger equation with wave operator

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