A Conservative Difference Scheme for Space Fractional Klein-Gordon-Schrödinger Equations with a High-Degree Yukawa Interaction

DOI10.4208/eajam.220418.300618zbMath1468.65114OpenAlexW2899483047MaRDI QIDQ4985236

Junjie Wang, Chenxi Wang, Ai-Guo Xiao

Publication date: 22 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.220418.300618

zbMATH Keywords

convergenceconservative difference schemequantum subdiffusionlocal high oscillationspace fractional Klein-Gordon-Schrödinger equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items

High-order conservative scheme for the coupled space fractional nonlinear Schrödinger equations, Conservative local discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction, Symplectic‐preserving Fourier spectral scheme for space fractional<scp>Klein–Gordon–Schrödinger</scp>equations, Structure-preserving scheme for one dimension and two dimension fractional KGS equations, A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains, Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations, A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems

Cites Work

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