A Legendre collocation method for fractional integro-differential equations

被引：104
|
作者：
Saadatmandi, Abbas [2 ]
Dehghan, Mehdi [1 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran
[2] Univ Kashan, Fac Sci, Dept Math, Kashan, Iran
来源：
JOURNAL OF VIBRATION AND CONTROL | 2011年 / 17卷 / 13期
关键词：
Caputo derivative; collocation method; fractional derivative; integro-differential equations; Legendre polynomials; NUMERICAL-SOLUTION; MOTION; CALCULUS;
D O I：
10.1177/1077546310395977
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A numerical method for solving the linear and non-linear fractional integro-differential equations of Volterra type is presented. The fractional derivative is described in the Caputo sense. The method is based upon Legendre approximations. The properties of Legendre polynomials together with the Gaussian integration method are utilized to reduce the fractional integro-differential equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the presented technique and a comparison is made with existing results.
引用
收藏
页码：2050 / 2058
页数：9
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