Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations
DOI10.1016/j.amc.2018.12.046zbMath1429.65254OpenAlexW2911659081MaRDI QIDQ2009266
Publication date: 27 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.046
stabilityconvergenceconservativenessFourier spectral methodquantum subdiffusionspace fractional Klein-Gordon-Schrödinger equations
NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linearly implicit conservative schemes for long-term numerical simulation of Klein-Gordon-Schrödinger equations
- Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation
- High order schemes for the tempered fractional diffusion equations
- Maximum-norm error analysis of a difference scheme for the space fractional CNLS
- Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data
- A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
- High-order algorithms for Riesz derivative and their applications. II
- An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- An attempt to give exact solitary and periodic wave polynomial solutions to the nonlinear Klein-Gordon-Schrödinger equations
- A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation
- Semi-explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral scheme for Klein-Gordon-Schrödinger equations
- On nonlinear fractional Klein-Gordon equation
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Orbital stability of periodic waves for the Klein-Gordon-Schrödinger system
- Jacobi spectral Galerkin methods for fractional integro-differential equations
- Stability properties of periodic standing waves for the Klein-Gordon-Schrödinger system
- Generalized solitary wave solutions for the Klein-Gordon-Schrödinger equations
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations
- Effect of surface slip on the relative motion and collision efficiency of slippery spherical particles
- Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
- Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation
- Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation
- An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations
- Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations
- High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation
- Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation
- A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
- Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations
- Finite difference/finite element methods for distributed-order time fractional diffusion equations
- An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations
- A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients
- Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
- Fractional Klein-Gordon equations and related stochastic processes
- Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients
- Generalized Jacobi functions and their applications to fractional differential equations
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- An accurate numerical method for solving the linear fractional Klein-Gordon equation
- Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions
- Bright and singular soliton solutions of the conformable time-fractional Klein–Gordon equations with different nonlinearities
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
- Fractional differentiation matrices with applications
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- An efficient approximate method for solving linear fractional Klein–Gordon equation based on the generalized Laguerre polynomials
This page was built for publication: Conservative Fourier spectral method and numerical investigation of space fractional Klein-Gordon-Schrödinger equations