Section: New Results

Domain decomposition for the resolution of nonlinear equations

Participant : Jean Rodolphe Roche.

This a joint work with Noureddine Alaa, Professor at the Marrakech Cadi Ayyad University.

Strongly problems of parabolic equations have received considerable attentions, and various forms of this problems have been proposed in the literature, especially in the area of reaction-diffusion equations with cross-diffusion, such problems arise from biological, chemical and physical systems. Various methods have been proposed in the mathematical literature to study the existence, uniqueness and compute numerical approximation of solutions for quasi-linear partial differential equation problems. This year our we develop a numerical method to solve periodic non linear parabolic equations based on domain decomposition and optimization interior points method, see [34] .