Solving fractional Riccati differential equation based on operational matrices

被引：0
|
作者：
Krishnaveni, K. [1 ]
Kannan, K. [1 ]
Balachandar, S. Raja [1 ]
机构：
[1] Sastra Univ, Sch Humanities & Sci, Dept Math, Thanjavur 613401, Tamil Nadu, India
来源：
JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING | 2014年 / 14卷 / 4-5期
关键词：
Fractional Riccati differential equation; shifted Legendre polynomials method; caputo fractional derivative; nonlinear differential equation; numerical solution;
D O I：
10.3233/JCM-140489
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the solution of fractional Riccati differential equation by using the operational matrix of shifted Legendre polynomial is discussed. The properties of shifted Legendre polynomials together with the Caputo fractional derivative are used to reduce the problem to the solution of nonlinear algebraic equations. Also the theoretical analysis of shifted Legendre polynomial method such as convergence and error analysis has been discussed. The illustrative examples demonstrate its applicability, validity and simplicity of the approximation scheme.
引用
收藏
页码：229 / 243
页数：15
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