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)
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Abstract
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.
| Item Type: | Article |
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| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | Holder classes; Nonlinear integral equation; Haar wavelets; Newton–Kantorovich |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Mrs Norsaini Abdul Samat |
| Date Deposited: | 29 Jun 2021 00:35 |
| Last Modified: | 29 Jun 2021 00:35 |
| URI: | http://umpir.ump.edu.my/id/eprint/31150 |
| Download Statistic: | View Download Statistics |
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