Higher-order energy-preserving difference scheme for the fourth-order nonlinear strain wave equation

DOI10.1016/j.camwa.2023.01.026OpenAlexW4320186822MaRDI QIDQ2693559

Yang Liu, Zhihui Tian, Maohua Ran

Publication date: 23 March 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.01.026

zbMATH Keywords

convergenceboundednessscalar auxiliary variablehigh-order energy-preserving schemefourth-order nonlinear strain wave equation

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Cites Work

• Fourth order wave equations with nonlinear strain and source terms
• Dynamics around the ground state of a nonlinear evolution equation
• Numerical solution of the sine-Gordon equation
• Numerical solution of a nonlinear Klein-Gordon equation
• The scalar auxiliary variable (SAV) approach for gradient flows
• New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
• A compact finite difference scheme for the fourth-order fractional diffusion-wave system
• High-order conservative difference scheme for a model of nonlinear dispersive equations
• The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes
• A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator
• A variant of scalar auxiliary variable approaches for gradient flows
• Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation
• On the \(L^{\infty}\)-convergence of two conservative finite difference schemes for fourth-order nonlinear strain wave equations
• Conservative finite difference scheme for the nonlinear fourth-order wave equation
• High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach
• FINITE TIME BLOW UP OF FOURTH-ORDER WAVE EQUATIONS WITH NONLINEAR STRAIN AND SOURCE TERMS AT HIGH ENERGY LEVEL
• Convergence of a Second-Order Scheme for Semilinear Hyperbolic Equations in 2 + 1 Dimensions
• A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
• A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

This page was built for publication: Higher-order energy-preserving difference scheme for the fourth-order nonlinear strain wave equation