Physical properties preserving numerical simulation of stochastic fractional nonlinear wave equation
type: Item
instance of: scholarly article
title: Physical properties preserving numerical simulation of stochastic fractional nonlinear wave equation
zbMATH Open document ID: 1481.60125
author: Yanjiao Zhou
author: Quanxiang Wang
author: Zhiyue Zhang
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2021-05-14T00:00:00Z
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7348089
zbMATH Keywords: stochastic space-fractional nonlinear
zbMATH Keywords: Crank-Nicolson scheme
zbMATH Keywords: dissipation-preserving
zbMATH Keywords: energy-conserving
zbMATH Keywords: additive noise
zbMATH Keywords: multiplicative noise
MaRDI profile type: Publication
full work available at URL: j.cnsns.2021.105832
OpenAlex ID: W3138184840
cites work: Full discretization of semilinear stochastic wave equations driven by multiplicative noise
cites work: Energy-conserving methods for the nonlinear Schrödinger equation
cites work: Energy conservation issues in the numerical solution of the semilinear wave equation
cites work: On barrier problems for the vibrating string
cites work: Spectral Galerkin method for stochastic wave equations driven by space-time white noise
cites work: Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods
cites work: Stochastic wave equations with polynomial nonlinearity
cites work: Stochastic Equations in Infinite Dimensions
cites work: A stochastic nonlinear Schrödinger equation with multiplicative noise
cites work: Numerical simulation of focusing stochastic nonlinear Schrödinger equations
cites work: Numerical simulation of the stochastic Korteweg-de Vries equation
cites work: Q2930843
cites work: Q5400824
cites work: A fourth-order approximation of fractional derivatives with its applications
cites work: A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise
cites work: An energy-conserving method for stochastic Maxwell equations with multiplicative noise
cites work: Splitting multisymplectic integrators for Maxwell's equations
cites work: Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
cites work: A fast mass-conserving explicit splitting method for the stochastic space-fractional nonlinear Schrödinger equation with multiplicative noise
cites work: A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
cites work: An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
cites work: A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation
cites work: A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations
cites work: Q4250595
cites work: On the \(\psi\)-Hilfer fractional derivative
cites work: Leibniz type rule: \(\psi\)-Hilfer fractional operator
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: Q3747436
cites work: An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation
cites work: Energy-preserving finite volume element method for the improved Boussinesq equation
cites work: An exponential integrator scheme for time discretization of nonlinear stochastic wave equation
cites work: Higher Order Strong Approximations of Semilinear Stochastic Wave Equation with Additive Space-time White Noise
cites work: An effective dissipation-preserving fourth-order difference solver for fractional-in-space nonlinear wave equations
cites work: New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good'' Boussinesq equation
DOI: 10.1016/J.CNSNS.2021.105832
description: scientific article; zbMATH DE number 7348089