SCW method for solving the fractional integro-differential equations with a weakly singular kernel

被引：44
|
作者：
Wang, Yanxin [1 ]
Zhu, Li [2 ]
机构：
[1] Ningbo Univ Technol, Sch Sci, Ningbo 315211, Zhejiang, Peoples R China
[2] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 275卷
基金：
中国国家自然科学基金;
关键词：
Weakly singular integro-differential equations; SCW; Operational matrix; Block pulse functions; Fractional calculus; NUMERICAL-SOLUTION; CALCULUS; INTEGRATION; MATRICES;
D O I：
10.1016/j.amc.2015.11.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on the second Chebyshev wavelets (SCW) operational matrix of fractional order integration, a numerical method for solving a class of fractional integro-differential equations with a weakly singular kernel is proposed. By using the operational matrix, the fractional integro-differential equations with weakly singular kernel are transformed into a system of algebraic equations. The upper bound of the error of the second Chebyshev wavelets expansion is investigated. Finally, some numerical examples are shown to illustrate the efficiency and accuracy of the approach. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：72 / 80
页数：9
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