Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods

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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Main Authors: Abdul Sathar, Mohammad Hasan, Rasedee, Ahmad Fadly Nurullah, Ahmedov, Anvarjon A., Bachok, Norfifah
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute 2020
Online Access:http://psasir.upm.edu.my/id/eprint/86932/1/Numerical%20solution%20of%20nonlinear.pdf
http://psasir.upm.edu.my/id/eprint/86932/
https://www.mdpi.com/2073-8994/12/12/2034/htm
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Institution: Universiti Putra Malaysia
Language: English
id my.upm.eprints.86932
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Abdul Sathar, Mohammad Hasan
Rasedee, Ahmad Fadly Nurullah
Ahmedov, Anvarjon A.
Bachok, Norfifah
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
author_facet Abdul Sathar, Mohammad Hasan
Rasedee, Ahmad Fadly Nurullah
Ahmedov, Anvarjon A.
Bachok, Norfifah
author_sort Abdul Sathar, Mohammad Hasan
title 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_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_sort numerical solution of nonlinear fredholm and volterra integrals by newton-kantorovich and haar wavelets methods
publisher Multidisciplinary Digital Publishing Institute
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/86932/1/Numerical%20solution%20of%20nonlinear.pdf
http://psasir.upm.edu.my/id/eprint/86932/
https://www.mdpi.com/2073-8994/12/12/2034/htm
_version_ 1724075480541298688

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