In this paper, we propose a compact finite difference scheme for computing the Klein–
Gordon–Schrödinger equation (KGSE) with homogeneous Dirichlet boundary conditions …

Abstract The coupled Gross–Pitaevskii (CGP) equation studied in this paper is an important
mathematical model describing two-component Bose–Einstein condensate with an internal …

In this paper, we propose and analyze two conservative fourth-order compact finite
difference schemes for the (1+ 1) dimensional nonlinear Dirac equation with periodic …

In this paper, we propose and analyze a conservative fourth-order compact finite difference
scheme for the Klein–Gordon–Dirac equation with periodic boundary conditions. Based on …

Fast high-order compact finite difference schemes are investigated for solving the two-
dimensional nonlinear Schrödinger equation with periodic boundary conditions. These …

In this paper, we present two high-order accurate difference schemes for the generalized
Rosenau–Kawahara-RLW equation. The proposed schemes guarantee the conservation of …

In this paper, a nonlinear high-order difference scheme is proposed to solve the Extended-
Fisher-Kolmogorov equation. The existence, uniqueness of difference solution and priori …

In this study, efficient eighth‐order accurate energy‐preserving compact finite difference
schemes are constructed for solving the two‐dimensional coupled Schrödinger–Boussinesq …

A new efficient compact difference scheme is proposed for solving a space fractional
nonlinear Schrödinger equation with wave operator. The scheme is proved to conserve the …

In this paper, we analyze a compact finite difference scheme for computing a coupled
nonlinear Schrödinger equation. The proposed scheme not only conserves the total mass …