Numerical solutions for systems of fractional order differential equations with Bernoulli wavelets

被引：12

作者：

Wang, Jiao ^{[1
]}

Xu, Tian-Zhou ^{[1
]}

Wei, Yan-Qiao ^{[2
]}

Xie, Jia-Quan ^{[3
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[2] Univ Orleans, INSA Ctr Val Loire, Bourges, France

[3] Taiyuan Univ Sci & Technol, Coll Mech Engn, Taiyuan, Shanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2019年 / 96卷 / 02期

关键词：

Bernoulli wavelets; fractional integral operator matrix; systems of fractional order differential equations; numerical solutions; convergence analysis; OPERATIONAL MATRIX; COUPLED SYSTEM; ADOMIAN DECOMPOSITION; CONVERGENCE;

D O I：

10.1080/00207160.2018.1438604

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an effective algorithm for solving systems of fractional order differential equations (FDEs) is proposed. The algorithm is based on Bernoulli wavelets function approximation, which has never been used for systems of FDEs. The main purpose of this algorithm is to combine Bernoulli wavelets function approximation with its fractional integral operator matrix to transform the studied systems of fractional differential equations into easily solved systems of algebraic equations. Illustrative examples are included to reveal the effectiveness of the algorithm and the accuracy of the convergence analysis.

引用

页码：317 / 336

页数：20

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