Unconditional \(L^{\infty}\) convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations

DOI10.1016/j.apnum.2018.12.009OpenAlexW2906499219MaRDI QIDQ1732874

Feng Liao, Ting-chun Wang, Lu-Ming Zhang

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.12.009

zbMATH Keywords

Schrödinger-Boussinesq equationunconditional convergencecompact difference schemeerror estimate in maximum norm

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical analysis (65-XX) Partial differential equations of mathematical physics and other areas of application (35Qxx) Numerical methods in Fourier analysis (65Txx)

Related Items (9)

Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations ⋮ Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled <scp>Schrödinger–Boussinesq</scp> equations ⋮ Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations ⋮ Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme ⋮ Numerical methods for solving Schrödinger equations in complex reproducing kernel Hilbert spaces ⋮ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac \(\text{equations}^{\star}\) ⋮ Efficient and conservative compact difference scheme for the coupled Schrödinger-Boussinesq equations

Cites Work

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