Haar wavelet operational matrix method for system of fractional nonlinear differential equations

被引：5

作者：

Saeed, Umer ^{[1
]}

机构：

[1] Natl Univ Sci & Technol, Sch Civil & Environm Engn, NUST Inst Civil Engn, Sect H-12, Islamabad, Pakistan

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2017年 / 15卷 / 05期

关键词：

Fractional differential equations; Haar wavelets; operational matrices; quasi-linearization; Caputo derivative; convergence analysis; VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD;

D O I：

10.1142/S0219691317500436

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we present a reliable method for solving system of fractional nonlinear differential equations. The proposed technique utilizes the Haar wavelets in conjunction with a quasilinearization technique. The operational matrices are derived and used to reduce each equation in a system of fractional differential equations to a system of algebraic equations. Convergence analysis and implementation process for the proposed technique are presented. Numerical examples are provided to illustrate the applicability and accuracy of the technique.

引用

页数：16

共 23 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2] Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations [J].