Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods
The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral of the second kind using a combination of a Newton–Kantorovich and Haar wavelet. Error analysis for the Holder classes was established to ensure convergence of the Haar wavelets. Numerical examples wi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/86932/ http://psasir.upm.edu.my/id/eprint/86932/1/Numerical%20solution%20of%20nonlinear.pdf |
| _version_ | 1848860324532322304 |
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| author | Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Bachok, Norfifah |
| author_facet | Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Bachok, Norfifah |
| author_sort | Abdul Sathar, Mohammad Hasan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral of the second kind using a combination of a Newton–Kantorovich and Haar wavelet. Error analysis for the Holder classes was established to ensure convergence of the Haar wavelets. Numerical examples will illustrate the accuracy and simplicity of Newton–Kantorovich and Haar wavelets. Numerical results of the current method were then compared with previous well-established methods. |
| first_indexed | 2025-11-15T12:43:26Z |
| format | Article |
| id | upm-86932 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:43:26Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-869322022-01-05T08:28:02Z http://psasir.upm.edu.my/id/eprint/86932/ Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Bachok, Norfifah The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral of the second kind using a combination of a Newton–Kantorovich and Haar wavelet. Error analysis for the Holder classes was established to ensure convergence of the Haar wavelets. Numerical examples will illustrate the accuracy and simplicity of Newton–Kantorovich and Haar wavelets. Numerical results of the current method were then compared with previous well-established methods. Multidisciplinary Digital Publishing Institute 2020-12-09 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86932/1/Numerical%20solution%20of%20nonlinear.pdf Abdul Sathar, Mohammad Hasan and Rasedee, Ahmad Fadly Nurullah and Ahmedov, Anvarjon A. and Bachok, Norfifah (2020) Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods. Symmetry, 12 (12). art. no. 2034. pp. 1-14. ISSN 2073-8994 https://www.mdpi.com/2073-8994/12/12/2034/htm 10.3390/sym12122034 |
| spellingShingle | Abdul Sathar, Mohammad Hasan Rasedee, Ahmad Fadly Nurullah Ahmedov, Anvarjon A. Bachok, Norfifah Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods |
| title | Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods |
| title_full | Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods |
| title_fullStr | Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods |
| title_full_unstemmed | Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods |
| title_short | Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods |
| title_sort | numerical solution of nonlinear fredholm and volterra integrals by newton-kantorovich and haar wavelets methods |
| url | http://psasir.upm.edu.my/id/eprint/86932/ http://psasir.upm.edu.my/id/eprint/86932/ http://psasir.upm.edu.my/id/eprint/86932/ http://psasir.upm.edu.my/id/eprint/86932/1/Numerical%20solution%20of%20nonlinear.pdf |