In this paper, the Crank–Nicolson (CN) difference scheme for the coupled nonlinear
Schrödinger equations with the Riesz space fractional derivative is studied. The existence of …

In this paper, a linearly implicit conservative difference scheme for the coupled nonlinear
Schrödinger equations with space fractional derivative is proposed. This scheme conserves …

In this paper, we study linearized Crank–Nicolson Galerkin FEMs for a generalized
nonlinear Schrödinger equation. We present the optimal L^ 2 L 2 error estimate without any …

In this work, one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D)
coupled damped Schrödinger system is solved numerically. A strong-form local meshless …

In this paper, we reformulate the coupled nonlinear Schrödinger (CNLS) equation by using
the scalar auxiliary variable (SAV) approach and solve the resulting system by using Crank …

The difference method for the space fractional coupled nonlinear Schrödinger equations
(CNLS) is studied. The fractional centered difference is used to approximate the space …

Nonlinear parabolic equation is studied with a linearized Galerkin finite element method.
First of all, a time-discrete system is established to split the error into two parts which are …

In this paper, we study the initial-boundary value problem of the usual Rosenau-RLW
equation by finite difference method. We design a conservative numerical scheme which …

A conservative three‐level linear finite difference scheme for the numerical solution of the
initial‐boundary value problem of Rosenau‐KdV equation is proposed. The difference …

The fractional PDEs based upon the distributed-order fractional derivative have several
applications in physics. The two-dimensional time-space distributed-order weakly singular …