Legendre Wavelet Operational Matrix of fractional Derivative through wavelet-polynomial transformation and its Applications in Solving Fractional Order Brusselator system

2015 International Conference on Mathematics, its Applications, and Mathematics Education

数学;教育

Chang, Phang^1 ; Isah, Abdulnasir^1

Department of Mathematics, Statistics University Tun Hussein Onn, Malaysia^1

关键词: Algebraic equations;    Fractional derivatives;    Fractional-order chaotic systems;    Legendre waveletss;    Operational matrices;    Operational methods;    Polynomial transformations;    Shifted Legendre polynomials;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/693/1/012001/pdf
DOI  :  10.1088/1742-6596/693/1/012001

学科分类：发展心理学和教育心理学

来源: IOP

【 摘 要 】

In this paper we propose the wavelet operational method based on shifted Legendre polynomial to obtain the numerical solutions of nonlinear fractional-order chaotic system known by fractional-order Brusselator system. The operational matrices of fractional derivative and collocation method turn 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.