A comparative study of numerical integration based on Haar wavelets and hybrid functions

被引：55

作者：

Siraj-ul-Islam ^{[1
]}

Aziz, Imran ^{[2
]}

Haq, Fazal ^{[3
]}

机构：

[1] NWFP Univ Engn & Technol, Dept Basic Sci, Peshawar, Pakistan

[2] Univ Peshawar, Dept Math, Peshawar, Pakistan

[3] NW Frontier Prov Agr Univ, Dept Math & Stat, Peshawar, Pakistan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 06期

关键词：

Numerical integration; Haar wavelets; Hybrid functions; BLOCK-PULSE; EQUATIONS; FREDHOLM; LEGENDRE; SYSTEMS;

D O I：

10.1016/j.camwa.2009.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A quadrature rule based on uniform Haar wavelets and hybrid functions is proposed to find approximate values of definite integrals. The wavelet-based algorithm can be easily extended to find numerical approximations for double, triple and improper integrals. The main advantage of this method is its efficiency and simple applicability. Error estimates of the proposed method alongside numerical examples are given to test the convergence and accuracy of the method. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2026 / 2036

页数：11

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