Numerical Different Methods for Solving the Nonlinear Biochemical Reaction Model

Abstract

In this paper, we are interested in Sumudu Decomposition Method (SDM) and Hermite collocation method. SDM is considered as a mixture of Adomian decomposition method and the Sumudu transform method. Firstly, SDM and Hermite collocation method are applied to obtain the solutions of a nonlinear biochemical reaction model. In addition, our numerical results are compared opposite to those of the traditional numerical method that were obtained for these two methods. Signal flow graph and Simulink of MATLAB of this model are represented. The stability of equilibrium point is studied. Finally, we show that SDM and Hermite collocation method are extremely symmetry and similar.