Publication:
Numerical Solution of Nonlinear Fredholm and Volterra Integrals by Newton–Kantorovich and Haar Wavelets Methods

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Numerical Solution of Nonlinear Fredholm and Volterra Integrals by Newton–Kantorovich and Haar Wavelets Methods.pdf (464.16 KB)

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2020

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MDPI

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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.

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Volume 12 Issue 12

Keywords

holder classes; nonlinear integral equation; Haar wavelets; Newton–Kantorovich

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Sathar MHA, Rasedee AFN, Ahmedov AA, Bachok N. Numerical Solution of Nonlinear Fredholm and Volterra Integrals by Newton–Kantorovich and Haar Wavelets Methods. Symmetry. 2020; 12(12):2034. https://doi.org/10.3390/sym12122034

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https://www.mdpi.com/2073-8994/12/12/2034
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85102322040&origin=resultslist&sort=plf-f&src=s&sid=5dd71140b122bdd25de94ff4f05bf0b7&sot=b&sdt=b&s=TITLE-ABS-KEY%28Numerical+Solution+of+Nonlinear+Fredholm+and+Volterra+Integrals+by+Newton%E2%80%93Kantorovich+and+Haar+Wavelets+Methods%29&sl=126&sessionSearchId=5dd71140b122bdd25de94ff4f05bf0b7
 https://oarep.usim.edu.my/handle/123456789/10560

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