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 …

The aim of this paper is to construct a linearized and energy-conserving numerical scheme
for nonlocal-in-space Klein-Gordon-Schrödinger system in multi-dimensional unbounded …

We present a class of arbitrarily high-order conservative schemes for the Klein–Gordon
Schrödinger equations. These schemes combine the symplectic Runge–Kutta method with …

This paper presents two second-order and linear finite element schemes for the multi-
dimensional nonlinear time-fractional Schrödinger equation. In the first numerical scheme …

Based on the invariant energy quadratization approach, we propose a linear implicit and
local energy preserving scheme for the nonlinear Schrödinger equation with wave operator …

In this study, we construct three efficient and conservative high-order accurate finite
difference schemes for solving the Klein-Gordon-Schrödinger equations with homogeneous …

In this paper, two second-order stable schemes based on the scalar auxiliary variable (SAV)
approach are constructed for the fractional-in-space Allen–Cahn equation. We use the …

Departing from an initial-boundary-value problem governed by a Klein–Gordon–Zakarov
system with fractional derivatives in the spatial variable, we provide an explicit finite …

In this paper, a family of linear structure-preserving (energy conservation) schemes with
second-order accuracy in the time direction is developed to numerically solve the undamped …

We present and analyze a series of structure-preserving diagonally implicit Runge–Kutta
schemes for the nonlinear Schrödinger equation. These schemes possess not only high …