In this paper, a new conservative difference scheme is proposed for solving the nonlinear
space-fractional Schrödinger equation. The Riesz space-fractional derivative is …

In this work, the Caputo-type Hadamard fractional derivative is utilized to introduce a
coupled system of time fractional Klein–Gordon-Schrödinger equations. The classical and …

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 …

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 paper, we propose the conservative linearized Galerkin finite element methods
(FEMs) for the nonlinear Klein-Gordon-Schrödinger equation (KGSE) with homogeneous …

In this paper, we are concerned with the numerical solutions of the coupled fractional Klein-
Gordon-Schrödinger equation. The numerical schemes are constructed by combining the …

In this study, a system of coupled distributed-order fractional Klein–Gordon–Schrödinger
equations is introduced. The distributed-order fractional derivative is generated based on …

A multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and
analyzed for solving the Klein–Gordon–Schrödinger (KGS) equations in the nonrelativistic …

In this paper, the Chebyshev cardinal functions together with the extended Chebyshev
cardinal wavelets are mutually utilized to generate a computational method for solving time …

The focus of this paper is on the optimal error bounds of a Fourier pseudo-spectral
conservative scheme for solving the 2-dimensional nonlinear Klein–Gordon–Schrödinger …