Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets

Nur Neesha, Alimin and Ahmad Fadly, Nurullah Rasedee and Mohammad Hasan, Abd Sathar and Ahmedov, Anvarjon A. and Muhammad Asyraf, Asbullah (2019) Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets. In: Journal of Physics: Conference Series, 2nd International Conference on Applied and Industrial Mathematics and Statistics (ICoAIMS 2019), 23 - 25 July 2019 , The Zenith Hotel, Kuantan, Pahang. pp. 1-7., 1366 (012092). ISSN 1742-6588 (print); 1742-6596 (online)

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Abstract

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.

Item Type: Conference or Workshop Item (Lecture)
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Linear Legendre multi-wavelets; Numerical approximations; Numerical integrations; Quadrature rules
Subjects: Q Science > QA Mathematics
Faculty/Division: Center for Mathematical Science
Depositing User: Mrs Norsaini Abdul Samat
Date Deposited: 13 Nov 2020 08:27
Last Modified: 13 Nov 2020 08:27
URI: http://umpir.ump.edu.my/id/eprint/29803
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