Numerical Solutions of the Nonlinear Fractional-Order Brusselator System by Bernstein Polynomials

Abstract EN

In this paper we propose the Bernstein polynomials to achieve the numerical solutions of nonlinear fractional-order chaotic system known by fractional-order Brusselator system.

We use operational matrices of fractional integration and multiplication of Bernstein polynomials, which turns the nonlinear fractional-order Brusselator system to a system of algebraic equations.

Two illustrative examples are given in order to demonstrate the accuracy and simplicity of the proposed techniques.