In this article, a finite difference/finite element algorithm, which is based on a finite difference
approximation in time direction and finite element method in spatial direction, is presented …

We establish uniform error estimates of finite difference methods for the nonlinear
Schrödinger equation (NLS) perturbed by the wave operator (NLSW) with a perturbation …

This article is concerned with the numerical solution of nonlinear hyperbolic Schr o¨ dinger
equations (NHSEs) via an efficient Haar wavelet collocation method (HWCM). The time …

The fractional reaction-diffusion equation has an important physical and theoretical
meaning, but its analytical solution poses considerable problems. This paper develops an …

A new conservative finite difference scheme for the Rosenau equation - ScienceDirect Skip
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In this paper, we study the efficient solution of the nonlinear Schrödinger equation with wave
operator, subject to periodic boundary conditions. In such a case, it is known that its solution …

The main aim of this paper is to apply the Galerkin finite element method to numerically
solve the nonlinear fractional Schrödinger equation with wave operator. We first construct a …

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 …

In this paper, a high order finite difference scheme for a two dimensional fractional Klein–
Gordon equation subject to Neumann boundary conditions is proposed. The difficulty …

We propose an exponential wave integrator sine pseudospectral (EWI-SP) method for the
nonlinear Schrödinger equation (NLS) with wave operator (NLSW), and carry out rigorous …