A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo

Document Type : Research Paper


1 Islamic Azad University, Ahvaz Branch, Ahvaz, Iran

2 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

3 Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran


In this work the mathematical model of a spatial pattern in chemical and biological systems is investigated numerically. The proposed model considered as a nonlinear reaction-diffusion equation. A computational approach based on finite difference and RBF-collocation methods is conducted to solve the equation with respect to the appropriate initial and boundary conditions. The ability and robustness of the numerical approach is investigated using two test problems.