Haar wavelet method for approximating the solution of a coupled system of fractional-order integral-differential equations

被引：17

作者：

Xie, Jiaquan ^{[1
]}

Wang, Tao ^{[1
]}

Ren, Zhongkai ^{[1
]}

Zhang, Jun ^{[2
]}

Quan, Long ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Mech & Vehicle Engn, Taiyuan 030024, Shanxi, Peoples R China

[2] Taiyuan Univ Sci & Technol, Coll Mech Engn, Taiyuan 030024, Shanxi, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2019年 / 163卷

基金：

国家自然科学基金重大项目;

关键词：

Haar wavelet; Numerical solutions; Convergence analysis; Operational matrix; Integral-differential equations; TRANSFORM METHOD; INTEGRODIFFERENTIAL EQUATIONS; COLLOCATION METHOD; CONVERGENCE; STABILITY; MODEL;

D O I：

10.1016/j.matcom.2019.02.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the current study, a numerical scheme based on the Haar wavelet is proposed to solve a coupled system of fractional-order integral-differential equations. The proposed method is to derive the operational matrix of fractional-order integration, and that is used to transform the main problem to a system of algebraic equations. Additionally, the convergence analysis theorem of this system is rigorously established and the numerical results show that the proposed method is practicable and effective for solving such kinds of problem. (C) 2019 InternationalAssociation forMathematics andComputers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：80 / 89

页数：10

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