Delay-independent stability of Euler method for nonlinear one-dimensional diffusion equation with constant delay

DOI10.1007/S11464-009-0007-7zbMath1396.65142OpenAlexW1964646391MaRDI QIDQ1022533

Yeguo Sun, Dongyue Zhang, Hong-Jiong Tian

Publication date: 22 June 2009

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-009-0007-7

zbMATH Keywords

asymptotic stabilityEuler methodpartial functional differential equation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Convergence and stability analysis of the \({\theta}\)-method for delayed diffusion mathematical models ⋮ Unnamed Item ⋮ Dissipativity ofθ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays

Cites Work

• Unnamed Item
• Stability and bifurcation in delay diffusion models
• Theory and applications of partial functional differential equations
• Existence and stability of fixed points for a discretised nonlinear reaction-diffusion equation with delay
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays
• Numerical Methods for Delay Differential Equations
• Stability in the numerical solution of linear parabolic equations with a delay term
• A partial functional differential equation

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