Title :
Some aspects in reaction-diffusion systems by numerical approach
Author :
Tsai, Hung-Jen ; Chen, Ke-Ren
Author_Institution :
Center for Gen. Educ., Chung Chou Inst. of Technol., Yuanlin, Taiwan
Abstract :
In this workshop, we study various types of solutions for reaction-diffusion systems of activator-inhibitor type. A typical example is FitzHugh-Nagumo equations. In numerical computation, we use method of lines to approximate partial differential equation by a system of ordinary differential equations. Based on numerical studies, we investigate a number of properties for the traveling fronts and traveling pulses of FitzHugh-Nagumo type systems.
Keywords :
partial differential equations; reaction-diffusion systems; FitzHugh-Nagumo equations; Numerical Approach; activator-inhibitor type; ordinary differential equations; partial differential equation; reaction-diffusion systems; Electronic mail; Equations; Inhibitors; Mathematical model; Nerve fibers; Stability criteria; Steady-state; FitzHugh-Nagumo equations; activator; inhibitor; reaction-diffusion systems; traveling fronts; traveling pulses;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002562
