A linear decoupled physical-property-preserving difference method for fractional-order generalized Zakharov system

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11) Numerical analysis (65-XX)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation
The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
On the maximum principle preserving schemes for the generalized Allen-Cahn equation
High-order algorithms for Riesz derivative and their applications. II
Multisymplectic numerical method for the Zakharov system
Numerical simulation of a generalized Zakharov system
A fourth-order approximation of fractional derivatives with its applications
Local discontinuous Galerkin methods for the generalized Zakharov system
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
On the continuum limit for discrete NLS with long-range lattice interactions
Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system
On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis
Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation
Compatibility of the Paraskevopoulos's algorithm with operational matrices of Vieta-Lucas polynomials and applications
Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations
An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations
A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation
Riesz fractional derivatives and fractional dimensional space
Symplectic scheme for the Schrödinger equation with fractional Laplacian
Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations
Finite element methods for fractional PDEs in three dimensions
Energy-conserved splitting FDTD methods for Maxwell's equations
Fractional dynamics of systems with long-range interaction
The Zakharov System and its Soliton Solutions
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
Convergence of an Energy-Preserving Scheme for the Zakharov Equations in one Space Dimension
Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities
Uniform error estimates of the conservative finite difference method for the Zakharov system in the subsonic limit regime
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
Finite Difference Method for Generalized Zakharov Equations
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation
Conservative difference scheme for fractional Zakharov system and convergence analysis
Linearly Implicit Local and Global Energy-Preserving Methods for PDEs with a Cubic Hamiltonian
Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
A Fast Finite Element Method for Space-Fractional Dispersion Equations on Bounded Domains in $\mathbb{R}^2$
Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations
Variational formulation of problems involving fractional order differential operators
Efficient and Stable Numerical Methods for the Generalized and Vector Zakharov System

This page was built for publication: A linear decoupled physical-property-preserving difference method for fractional-order generalized Zakharov system