One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments

DOI10.1007/s10915-022-01769-zzbMath1484.65221OpenAlexW4210363192MaRDI QIDQ2113629

Cheng-Jian Zhang, Hao Han

Publication date: 14 March 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-01769-z

zbMATH Keywords

error analysispiecewise continuous argumentsneutral reaction-diffusion equationsone-parameter fully discrete GFE methodssemi-discrete GFE scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Asymptotical stability of neutral reaction-diffusion equations with PCAs and their finite element methods ⋮ A high-order compact difference method and its Richardson extrapolation for semi-linear reaction-diffusion equations with piecewise continuous argument in diffusion term

Cites Work

• Unnamed Item
• Unnamed Item
• Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
• Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument
• Stability in cellular neural networks with a piecewise constant argument
• Partial differential equations with piecewise constant delay
• A parabolic differential equation with unbounded piecewise constant delay
• A wave equation with discontinuous time delay
• Rotating waves in neutral partial functional differential equations
• Oscillatory and periodic solutions to a diffusion equation of neutral type
• Introduction to functional differential equations
• The asymptotic stability of one-parameter methods for neutral differential equations
• Boundary value problems for the diffusion equation with piecewise continuous time delay
• Analytical and numerical approaches to characteristics of linear and nonlinear vibratory systems under piecewise discontinuous disturbances.
• The discrete dynamics of nonlinear infinite-delay-differential equations
• Unique solutions for a new coupled system of fractional differential equations
• A survey of partial differential equations with piecewise continuous arguments
• Theory and applications of partial functional differential equations
• Stability analysis of \(\theta\)-methods for neutral functional- differential equations
• On the stable difference schemes for the Schrödinger equation with time delay
• Extended block boundary value methods for neutral equations with piecewise constant argument
• Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument
• Analytical and numerical stability of partial differential equations with piecewise constant arguments
• Stability analysis of parabolic partial differential equations with piecewise continuous arguments
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• Nonlinear Dynamics of Piecewise Constant Systems and Implementation of Piecewise Constant Arguments
• Asymptotic stability analysis of the linear θ-method for linear parabolic differential equations with delay
• Estimations of Constants in Inverse Inequalities for Finite Element Functions
• A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients
• Behavior of the solutions of a partial differential equation with a piecewise constant argument
• A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument
• Schwarz Waveform Relaxation for a Neutral Functional Partial Differential Equation Model of Lossless Coupled Transmission Lines
• Stability Analysis of $\Theta$-Methods for Nonlinear Neutral Functional Differential Equations
• Galerkin Finite Element Methods for Parabolic Problems
• A numerical scheme for diffusion-convection equation with piecewise constant arguments

This page was built for publication: One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments