Approximate Solution of Nonlinear Fractional Order Biochemical Reaction Model by Multistage New Iterative Method

Abstract

Nonlinear fractional order mathematical models usually do not have closed form solutions. Fractional order biochemical reaction model is such a model that cannot be solved analytically, hence, valid approximate solution is desired. Multistage new iterative method is proposed to acquire bounded approximate solution of fractional order biochemical reaction model. The frac- tional order biochemical process is simulated using the proposed method for various combinations of fractional order and dimensionless reaction parame- ters. The results have shown that the proposed method is reliable and com- putationally e ective.