Solving Nonlinear Chemical Kinetics System By Using Bernstein Polynomials

Abstract

In this study, we solve a nonlinear fractional model of chemical kinetics system. The nu merical solution of this nonlinear fractional model has been obtained by using Bernstein polynomials. The basic idea is to apply operational matrices of fractional integration and multiplication of Bernstein polynomials. The significance point to note here is the given prob lem turns into a set of nonlinear algebraic equations by expanding the solution as Bernstein polynomials with unknown coefficients. Then, by solving nonlinear algebraic equations, the approximate solution of a fractional model of chemical kinetics system are obtained. In addition, to solve this nonlinear algebraic equations we have used the Newton iterations method. Also, this result explained by the fact that the suggested technique is computation ally powerful for solving a fractional model of chemical kinetics system. To manifest about the performance and applicability of the method, one test example is deliberated. In this work we use of Mathematica for computations and programming.