CAS wavelet method for solving the fractional integro-differential equation with a weakly singular kernel

被引：36

作者：

Yi, Mingxu ^{[1
]}

Huang, Jun ^{[1
]}

机构：

[1] Beihang Univ, Sch Aeronaut Sci & Technol, Beijing 100191, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2015年 / 92卷 / 08期

关键词：

operational matrix; numerical solution; block pulse functions; weakly singular integral kernel; CAS wavelets; VOLTERRA INTEGRAL-EQUATIONS; NUMERICAL-SOLUTION; VARIABLE-ORDER; INVERSION; MECHANICS; OPERATORS; KIND;

D O I：

10.1080/00207160.2014.964692

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a computational method for numerical solution of a class of integro-differential equations with a weakly singular kernel of fractional order which is based on Cos and Sin (CAS) wavelets and block pulse functions is introduced. Approximation of the arbitrary order weakly singular integral is also obtained. The fractional integro-differential equations with weakly singular kernel are transformed into a system of algebraic equations by using the operational matrix of fractional integration of CAS wavelets. The error analysis of CAS wavelets is given. Finally, the results of some numerical examples support the validity and applicability of the approach.

引用

页码：1715 / 1728

页数：14

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