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.
Khan, H., Jafari, H., Khan, R. A., Tajadodi, H., & Johnston, S. J. (2014). Numerical solutions of the nonlinear fractional-order Brusselator system by Bernstein polynomials. Scientific World Journal, 2014. https://doi.org/10.1155/2014/257484