Efficient Quadrature Rules for Numerical Integration Based on Linear Legendre Multi-Wavelets

被引：0

作者：

Alimin, Nur Neesha ^{[1
]}

Rasedee, Ahmad Fadly Nurullah ^{[3
,4
]}

Sathar, Mohammad Hasan Abdul ^{[2
,3
]}

Ahmedov, Anvarjon A. ^{[5
]}

Asbullah, Muhammad Asyraf ^{[2
,3
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Fac Sci, Upm Serdang 43400, Malaysia

[2] Putra Univ Malaysia, Ctr Fdn Studies Agr Sci, Serdang 43400, Selangor, Malaysia

[3] Putra Univ Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

[4] Univ Sains Islam Malaysia, Fac Econ & Muamalat, Nilai 78100, Negeri Sembilan, Malaysia

[5] Univ Malaysia Pahang, Ctr Math Sci, Gambang 26300, Pahang, Malaysia

来源：

2ND INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS | 2019年 / 1366卷

关键词：

EQUATIONS;

D O I：

10.1088/1742-6596/1366/1/012092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, generalize solution based on linear Legendre multi-wavelets are proposed for single, double and triple integrals with variable limits. To obtain the numerical approximations for integrals, an algorithm with the properties of linear Legendre multi-wavelets are applied. The main benefits of this method are its simple applicable and efficient. Furthermore, the error analysis for single, double and triple integrals is worked out to show the efficiency of the method. Numerical examples for the integrals are conducted by using linear Legendre multi-wavelets in order to validate the error estimation.

引用

页数：6

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