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Numerical integration based on linear Legendre multi wavelets


Citation

Abdul Sathar, Mohammad Hasan and Rasedee, Ahmad Fadly Nurullah and Ahmedov, Anvarjon A. and Asbullah, Muhammad Asyraf (2018) Numerical integration based on linear Legendre multi wavelets. In: 3rd International Conference on Mathematical Sciences and Statistics, 6 - 8 Feb. 2018, Le Meridien Putrajaya, Malaysia. (pp. 1-7).

Abstract

In the present work, a new direct computational method for solving definite integrals based on linear Legendre multi wavelets is introduced. This approach is an improvement of previous methods which are based on Haar wavelets functions. An algorithm using properties of the linear Legendre multi wavelets is developed in order to find numerical approximations for double, triple and improper integrals. The main advantage of this method is its efficiency and simple applicability. To validate the algorithm, numerical experiments are conducted to illustrate the accuracy of the method.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Institute for Mathematical Research
Centre of Foundation Studies for Agricultural Science
DOI Number: https://doi.org/10.1088/1742-6596/1132/1/012008
Publisher: Institute of Physics Publishing
Keywords: Linear Legendre; Multi wavelets; Haar wavelets;
Depositing User: Mr. Sazali Mohamad
Date Deposited: 27 Nov 2019 03:18
Last Modified: 27 Nov 2019 03:18
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=/10.1088/1742-6596/1132/1/012008
URI: http://psasir.upm.edu.my/id/eprint/75096
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