Abstract:In this study, efficient eighth‐order accurate energy‐preserving compact finite difference schemes are constructed for solving the two‐dimensional coupled Schrödinger–Boussinesq equations (CSBEs) with periodic boundary conditions. The temporal discretization of the first scheme is carried out by a second‐order fully implicit scheme, which requires an iterative method. Thanks to the circulant matrix of spatial discretization, we significantly reduce the computational costs of matrix‐array multiplications and me… Show more
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