Citation
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
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Centre of Foundation Studies for Agricultural Science |
| DOI Number: | https://doi.org/10.3390/sym12122034 |
| Publisher: | Multidisciplinary Digital Publishing Institute |
| Keywords: | Holder classes; Nonlinear integral equation; Haar wavelets; Newton–Kantorovich |
| Depositing User: | Mohamad Jefri Mohamed Fauzi |
| Date Deposited: | 05 Jan 2022 08:28 |
| Last Modified: | 05 Jan 2022 08:28 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym12122034 |
| URI: | http://psasir.upm.edu.my/id/eprint/86932 |
| Statistic Details: | View Download Statistic |
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