The main objective of the present investigation is to find the solution for the fractional model
of Klein-Gordon-Schrödinger system with the aid of q-homotopy analysis transform method …

In this work, a novel class of high-order energy-preserving algorithms are developed for
simulating the coupled Klein-Gordon-Schrödinger equations. We introduce a Lagrange …

The focus of this paper is on the optimal error bounds of two finite difference schemes for
solving the d-dimensional (d= 2, 3) nonlinear Klein-Gordon-Schrödinger (KGS) equations …

In this article, some high‐order accurate difference schemes of dispersive shallow water
waves with Rosenau‐KdV‐RLW‐equation are presented. The corresponding conservative …

In this paper, we propose Fourier spectral method to solve space fractional Klein–Gordon–
Schrödinger equations with periodic boundary condition. First, the semi-discrete scheme is …

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

Recently, the long time numerical simulation of PDEs with weak nonlinearity (or small
potentials) becomes an interesting topic. In this paper, for the Klein–Gordon–Schrödinger …

Abstract The Klein–Gordon–Schrödinger equations describe a classical model of interaction
of nucleon field with meson field in physics, how to design the energy conservative and …

In this paper, an efficient numerical scheme is presented for solving the space fractional
nonlinear damped sine–Gordon equation with periodic boundary condition. To obtain the …

This paper is devoted to the unconditional optimal error analysis of a linearized, decoupled
and conservative Galerkin finite element method (FEM) for the Klein–Gordon–Schödinger …