A reliable non-standard finite difference scheme for solving nonlinear biochemical reaction model

Abstract

In this paper, we present an efficient and accurate numerical scheme for the solution of a model biochemical reaction.  The non–standard finite difference scheme based on Adomian decomposition method does not need to linearized or non-locally linearized for the nonlinear term of differential equation.  The decomposition method is adopted to construct the numerical solutions.  The results demonstrate reliability and efficiency of the algorithm developed.