ABSTRACT
The FIEM (Finite Element Method) based numerical technique for the two-
dimensional and two-directional problem is a challenging task for the numerical
analysis practitioners. The main goal of this work is the development of an implicit
numerical scheme for the solution of a coupled set of nonlinear partial differential
equations using FEM. The most common computational strategy for this class of the
problems used in the general practice is the FDM (Finite Difference Methods) and
generally the rectangular grids are used as the discrete domain of the computation
whereas we solve our problem on a triangular grid which allows the local choice of
scaling diffusion parameters. The main focus is to apply the developed numerical
scheme on the study of the biological models called Schnakenberg and Glycolysis.
The Schnakenberg model and Glycolysis model is designed to compute the pattem
formation for morphogenesis concentration and glucose concentration in animal
species. The main interest is to compute the stripe like and spot like patterns for
animal species during morphogenesis concentration and glucose concentration.