A STRATEGY FOR SOLVING NUMERICALLY NONLINEAR PARABOLIC EQUATIONS OVER TWO DIMENSIONAL DOMAIN WITH COMPLEX GEOMETRY

摘要

In this paper, we develop a strategy to numerically solve nonlinear parabolic equations by using the central finite differentiation method over two dimensional domain with complex geometry. We first show the great convergence for approximating the first and second order derivatives. Thus, we describe an efficient numerical scheme for a nonlinear condition diffusion problem.