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

页数：8

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