Numerical Solution of a Two Component Reaction-Diffusion Equation in Two Spatial Dimensions
John N. Homenuke · 2006
ii This work details the solution to a two component reaction-diffusion equa-tion known as the classical Gierer-Meinhardt model in (2+1) dimensions using Crank-Nicholson and nonlinear multigrid methods. Stripe initial con-ditions are examined in one of two distinct interaction regimes, the weak interaction regime, which display breakup instabilities for certain parame-ter spaces. iii iv