Open AccessEfficient Quadrature Rules for Numerical Integration Based on Linear Legendre Multi-Wavelets
Author(s) -
Nur Neesha Alimin,
Ahmad Fadly Nurullah Rasedee,
Mohammad Hasan Abdul Sathar,
Anvarjon Ahmedov,
Muhammad Asyraf Asbullah
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1366/1/012092
Subject(s) - legendre wavelet , legendre polynomials , wavelet , mathematics , quadrature (astronomy) , numerical integration , numerical analysis , multiple integral , mathematical analysis , computer science , wavelet transform , discrete wavelet transform , physics , artificial intelligence , optics
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.