Legendre Wavelets Method for Solving Fractional Population Growth Model in a Closed System

被引：30
|
作者：
Heydari, M. H. [1 ]
Hooshmandasl, M. R. [1 ]
Cattani, C. [2 ]
Li, Ming [3 ]
机构：
[1] Yazd Univ, Fac Math, Yazd 89195741, Iran
[2] Univ Salerno, Dept Math, I-84084 Fisciano, Italy
[3] E China Normal Univ, Sch Informat Sci & Technol, Shanghai 200241, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
基金：
中国国家自然科学基金;
关键词：
DIFFERENTIAL-EQUATIONS; ANALYTICAL APPROXIMATIONS; NUMERICAL APPROXIMATIONS; CHEBYSHEV; CALCULUS;
D O I：
10.1155/2013/161030
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new operational matrix of fractional order integration for Legendre wavelets is derived. Block pulse functions and collocation method are employed to derive a general procedure for forming this matrix. Moreover, a computational method based on wavelet expansion together with this operational matrix is proposed to obtain approximate solution of the fractional population growth model of a species within a closed system. The main characteristic of the new approach is to convert the problem under study to a nonlinear algebraic equation.
引用
收藏
页数：8
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