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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020
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| Online Access: | http://umpir.ump.edu.my/id/eprint/31150/ http://umpir.ump.edu.my/id/eprint/31150/1/Numerical%20solution%20of%20nonlinear%20fredholm%20and%20volterra%20integrals.pdf |
| _version_ | 1848823697308123136 |
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| author | Mohammad Hasan, Abdul Sathar Ahmad Fadly Nurullah, Rasedee Ahmedov, Anvarjon A. Norfifah, Bachok |
| author_facet | Mohammad Hasan, Abdul Sathar Ahmad Fadly Nurullah, Rasedee Ahmedov, Anvarjon A. Norfifah, Bachok |
| author_sort | Mohammad Hasan, Abdul Sathar |
| building | UMP 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 | 2025-11-15T03:01:15Z |
| format | Article |
| id | ump-31150 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:01:15Z |
| publishDate | 2020 |
| publisher | MDPI AG |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-311502021-06-29T00:35:17Z http://umpir.ump.edu.my/id/eprint/31150/ Numerical solution of nonlinear fredholm and volterra integrals by Newton–Kantorovich and Haar wavelets methods Mohammad Hasan, Abdul Sathar Ahmad Fadly Nurullah, Rasedee Ahmedov, Anvarjon A. Norfifah, Bachok QA Mathematics 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. MDPI AG 2020-12 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/31150/1/Numerical%20solution%20of%20nonlinear%20fredholm%20and%20volterra%20integrals.pdf Mohammad Hasan, Abdul Sathar and Ahmad Fadly Nurullah, Rasedee and Ahmedov, Anvarjon A. and Norfifah, Bachok (2020) Numerical solution of nonlinear fredholm and volterra integrals by Newton–Kantorovich and Haar wavelets methods. Symmetry, 12 (12). pp. 1-13. ISSN 2073-8994. (Published) https://doi.org/10.3390/sym12122034 https://doi.org/10.3390/sym12122034 |
| spellingShingle | QA Mathematics Mohammad Hasan, Abdul Sathar Ahmad Fadly Nurullah, Rasedee Ahmedov, Anvarjon A. Norfifah, Bachok 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 |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/31150/ http://umpir.ump.edu.my/id/eprint/31150/ http://umpir.ump.edu.my/id/eprint/31150/ http://umpir.ump.edu.my/id/eprint/31150/1/Numerical%20solution%20of%20nonlinear%20fredholm%20and%20volterra%20integrals.pdf |