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Simulation of nonlinear reaction-diffusion equations

✍ Scribed by R.F. Stetson; J.B. McGuire; W.A. Hogan

Publisher
Springer
Year
1977
Tongue
English
Weight
242 KB
Volume
39
Category
Article
ISSN
1522-9602

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✦ Synopsis

Discrete particle simulation techniques developed for prob]ems in plasma physics have been adapted to investigate one-dimensional dissipative structures. The results of the model are found to be consistent with bifurcation analysis of nonlinear reaction-diffusion equations. Two distinct types of behavior are observed corresponding to a localized steady-state solution and a time-dependent solution.

📜 SIMILAR VOLUMES

Solutions to systems of nonlinear reacti
Solutions to systems of nonlinear reaction-diffusion equations
✍ Gerald Rosen 📂 Article 📅 1975 🏛 Springer 🌐 English ⚖ 641 KB

General criteria which either preclude time-periodic dissipative structure solutions or imply asymptotically steady solutions are derived for generic systems of reaction-diffusion equations ~ct[at = DtV2c~ + Qt(c) subject to boundary conditions of practical interest, where the enumerator index i run

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✍ Faridon Amdjadi 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 416 KB

The two-variable reaction diffusion equations on the spherical domain is considered and simulated, using the semiimplicit Euler finite difference method. It is shown that the method keeps the kinetics from overshooting the stable branches when a large time step is used in the simulation.