Numerical integration based on linear Legendre multi wavelets
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 wave...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
Institute of Physics Publishing
2018
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/75096/1/Numerical%20integration%20based%20on%20linear%20Legendre%20multi%20wavelets.pdf |
| _version_ | 1825950410405314560 |
|---|---|
| author | Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Asbullah, Muhammad Asyraf |
| author_facet | Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Asbullah, Muhammad Asyraf |
| author_sort | Abdul Sathar, Mohammad Hasan |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T10:14:10Z |
| format | Conference or Workshop Item |
| id | upm.eprints-75096 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:14:10Z |
| publishDate | 2018 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | upm.eprints-750962019-11-27T03:18:03Z http://psasir.upm.edu.my/id/eprint/75096/ Numerical integration based on linear Legendre multi wavelets Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Asbullah, Muhammad Asyraf 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. Institute of Physics Publishing 2018 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75096/1/Numerical%20integration%20based%20on%20linear%20Legendre%20multi%20wavelets.pdf 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). https://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012008/meta 10.1088/1742-6596/1132/1/012008 |
| spellingShingle | Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Asbullah, Muhammad Asyraf Numerical integration based on linear Legendre multi wavelets |
| title | Numerical integration based on linear Legendre multi wavelets |
| title_full | Numerical integration based on linear Legendre multi wavelets |
| title_fullStr | Numerical integration based on linear Legendre multi wavelets |
| title_full_unstemmed | Numerical integration based on linear Legendre multi wavelets |
| title_short | Numerical integration based on linear Legendre multi wavelets |
| title_sort | numerical integration based on linear legendre multi wavelets |
| url | http://psasir.upm.edu.my/id/eprint/75096/1/Numerical%20integration%20based%20on%20linear%20Legendre%20multi%20wavelets.pdf |
| work_keys_str_mv | AT abdulsatharmohammadhasan numericalintegrationbasedonlinearlegendremultiwavelets AT rasedeeahmadfadlynurullah numericalintegrationbasedonlinearlegendremultiwavelets AT ahmedovanvarjona numericalintegrationbasedonlinearlegendremultiwavelets AT asbullahmuhammadasyraf numericalintegrationbasedonlinearlegendremultiwavelets |