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A conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger-Boussinesq equations
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DOI：10.1007/s12190-026-02775-2.png)
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Abstract
En 中文
This paper presents a higher-order conservative finite difference scheme for solving the coupled nonlinear Schr & ouml;dinger-Boussinesq equations. The scheme adopts a novel sixth-order spatial difference operator, along with the Crank-Nicolson method and Richardson extrapolation technique for temporal discretization, yielding sixth-order accuracy in space and fourth-order accuracy in time. Subsequently, the discrete mass conservation, energy conservation, and convergence properties of this scheme are analyzed one by one. Furthermore, a fast algorithm is designed to improve the computational efficiency of the proposed method. Numerical simulations are conducted to validate the theoretical findings, which demonstrate the scheme's high accuracy and reliability.
Keywords:
Coupled nonlinear Schr & ouml
dinger-Boussinesq
Finite difference scheme
Higher-order accuracy
Conservation
Unconditional convergence
Journal
J
IF:
2.7
Papers:
151
Citations:
0