Numerical Solution of Fractional Fredholm-Volterra Integro-Differential Equations by Means of Generalized Hat Functions Method

被引：0
|
作者：
Li, Baofeng [1 ]
机构：
[1] Tangshan Normal Univ, Dept Math & Informat Sci, Tangshan, Hebei, Peoples R China
来源：
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2014年 / 99卷 / 02期
关键词：
Fractional integro-differential equations; generalized hat functions; operational matrix; error analysis; numerical solution; DIFFERENTIAL TRANSFORM METHOD; NONLINEAR INTEGRAL-EQUATIONS; 2ND KIND; OPERATIONAL MATRIX; ORDER; SYSTEMS; WAVELET;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, operational matrix method based on the generalized hat functions is introduced for the approximate solutions of linear and nonlinear fractional integro-differential equations. The fractional order generalized hat functions operational matrix of integration is also introduced. The linear and nonlinear fractional integro-differential equations are transformed into a system of algebraic equations. In addition, the method is presented with error analysis. Numerical examples are included to demonstrate the validity and applicability of the approach.
引用
收藏
页码：105 / 122
页数：18
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