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

Author:

Tian Hongjiong,Zhang Dongyue,Sun Yeguo

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Reference10 articles.

1. Bellen A, Zennaro M. Numerical Methods for Delay Differential Equations. Oxford: Clarendon Press, 2003

2. Chan W C, Green D. Stablility and bifurcation in delay diffusion models. Diff Equa Dynam Syst, 1993, 1(1): 87–100

3. Green D, Stech H W. Diffusion and Hereditary Effects in a Class of Population Models in Differential Equations and Applications in Ecology, Epidemics, and Population Problems. New York: Academic Press, 1981

4. Haberman R. Applied Partial Differential Equations: with Fourier Series and Boundary Value Problems. 4th ed. New Jersey: Pearson Prentice Hall, 2004

5. Higham D J, Sardar T. Existence and stability of fixed points for a discretized nonlinear reaction-diffusion equation with delay. Appl Numer Math, 1995, 18(1-3): 155–173

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