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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: Mohammad Hasan, Abdul Sathar, Ahmad Fadly Nurullah, Rasedee, Ahmedov, Anvarjon A., Norfifah, Bachok
Format: Article
Language:English
Published: MDPI AG 2020
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/31150/1/Numerical%20solution%20of%20nonlinear%20fredholm%20and%20volterra%20integrals.pdf
http://umpir.ump.edu.my/id/eprint/31150/
https://doi.org/10.3390/sym12122034
https://doi.org/10.3390/sym12122034
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spelling my.ump.umpir.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 https://doi.org/10.3390/sym12122034 https://doi.org/10.3390/sym12122034
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
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
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 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
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 MDPI AG
publishDate 2020
url http://umpir.ump.edu.my/id/eprint/31150/1/Numerical%20solution%20of%20nonlinear%20fredholm%20and%20volterra%20integrals.pdf
http://umpir.ump.edu.my/id/eprint/31150/
https://doi.org/10.3390/sym12122034
https://doi.org/10.3390/sym12122034
_version_ 1703960796475686912
score 13.160551

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