An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations
type: Item
instance of: scholarly article
title: An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations
zbMATH Open document ID: 1429.65209
author: Jingjun Zhao
author: Yu Li
author: Yang Xu
published in: Applied Mathematics and Computation
publication date: 2019-11-27T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7137711
zbMATH Keywords: Riesz space fractional wave equation
zbMATH Keywords: energy conservation
zbMATH Keywords: Lubich difference operator
zbMATH Keywords: extended Runge-Kutta-Nyström method
MaRDI profile type: Publication
full work available at URL: j.amc.2019.01.040
OpenAlex ID: W2912832537
cites work: Q5482948
cites work: On the numerical solution of the Klein‐Gordon equation
cites work: Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
cites work: Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators
cites work: Q5596338
cites work: An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations
cites work: An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations
cites work: Discretized Fractional Calculus
cites work: Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations
cites work: A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives
cites work: A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations
cites work: An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions
cites work: Conservation laws and Hamilton's equations for systems with long-range interaction and memory
cites work: Structure-Preserving Algorithms for Oscillatory Differential Equations
cites work: Efficient energy-preserving integrators for oscillatory Hamiltonian systems
cites work: Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods
cites work: ERKN integrators for systems of oscillatory second-order differential equations
cites work: Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations
cites work: A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
cites work: Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations
Wikidata QID: Q128467903
DOI: 10.1016/J.AMC.2019.01.040
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description: scientific article; zbMATH DE number 7137711