A fully discrete \(\theta \)-method for solving semi-linear reaction-diffusion equations with time-variable delay

DOI10.1016/j.matcom.2020.07.019OpenAlexW3045325999MaRDI QIDQ1998227

Cheng-Jian Zhang, Changyang Tang

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.07.019

zbMATH Keywords

global stabilityerror analysistime-variable delaysemi-linear reaction-diffusion equationsfully discrete \(\theta \)-method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

Related Items (4)

Analytic simulation of the synergy of spatial-temporal memory indices with proportional time delay ⋮ A class of one‐parameter alternating direction implicit methods for two‐dimensional wave equations with discrete and distributed time‐variable delays ⋮ Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays ⋮ One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay

Cites Work

• Unnamed Item
• Exact and numerical stability analysis of reaction-diffusion equations with distributed delays
• A linearized compact difference scheme for a class of nonlinear delay partial differential equations
• Long time behavior of non-Fickian delay reaction-diffusion equations
• LDG method for reaction-diffusion dynamical systems with time delay
• Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics
• Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
• Convergence and stability of the finite difference scheme for nonlinear parabolic systems with time delay
• Convergence and stability analysis of the \({\theta}\)-method for delayed diffusion mathematical models
• Theory and applications of partial functional differential equations
• Unconditionally stable difference methods for delay partial differential equations
• A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations
• A note on compact finite difference method for reaction-diffusion equations with delay
• Stability and convergence of compact finite difference method for parabolic problems with delay
• Dynamics for a type of general reaction-diffusion model
• Asymptotic stability analysis of the linear θ-method for linear parabolic differential equations with delay
• A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument
• Stability in the numerical solution of linear parabolic equations with a delay term

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