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.
CITATION STYLE
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
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