New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions

DOI10.1016/j.amc.2018.07.059zbMath1429.65189OpenAlexW2887840168WikidataQ129369352 ScholiaQ129369352MaRDI QIDQ2007566

Wei Shi, Xin-Yuan Wu, Chang Ying Liu

Publication date: 22 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.2018.07.059

zbMATH Keywords

oscillatory systemNeumann boundary conditionsfinite difference discretizationnonlinear Hamiltonian wave equationAVF formulaenergy-preserving algorithm

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems ⋮ A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption ⋮ Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions ⋮ A new embedded 4(3) pair of modified two-derivative Runge-Kutta methods with FSAL property for the numerical solution of the Schrödinger equation ⋮ A velocity-combined local best particle swarm optimization algorithm for nonlinear equations

Uses Software

• LIMbook

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