The shifted Jacobi polynomial integral operational matrix for solving Riccati differential equation of fractional order

被引：0
|
作者：
Neamaty, A. [1 ]
Agheli, B. [2 ]
Darzi, R. [3 ]
机构：
[1] Univ Mazandaran, Dept Math, Babol Sar, Iran
[2] Islamic Azad Univ, Qaemshahr Branch, Dept Math, Qaemshahr, Iran
[3] Islamic Azad Univ, Neka Branch, Dept Math, Neka, Iran
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2015年 / 10卷 / 02期
关键词：
Fractional differential equations; Operational matrix; Jacobi polynomials; Tau method; Riccati equation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we have applied Jacobi polynomial to solve Riccati differential equation of fractional order. To do so, we have presented a general formula for the Jacobi operational matrix of fractional integral operator. Using the Tau method, the solution of this problem reduces to the solution of a system of algebraic equations. The numerical results for the examples presented in this paper demonstrate the efficiency of the present method.
引用
收藏
页码：878 / 892
页数：15
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