The numerical solution of reaction-diffusion equations of Î»-Ï type, which are known to possess a one-parameter family of periodic plane wave solutions, is object of this paper. Due to the periodic character of such solutions, a special purpose numerical integration is here proposed, based on adapted finite differences. The adaptation occurs at the level of the problem, by a suitable spatial semi-discretization based on trigonometrically fitted finite differences. Numerical experiments confirming the effectiveness of the approach are given.
|Titolo:||Numerical solution of reaction-diffusion systems of Î»-Ï Type by trigonometrically fitted methods|
|Data di pubblicazione:||2016|
|Appare nelle tipologie:||1.1 Articolo in rivista|