<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chebbah, Hassna</style></author><author><style face="normal" font="default" size="100%">MENNOUNI, ABDELAZIZ</style></author><author><style face="normal" font="default" size="100%">Zennir, Khaled</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Three methods to solve two classes of integral equations of the second kind</style></title><secondary-title><style face="normal" font="default" size="100%">Boletim da Sociedade Paranaense de Matemática</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2022</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2022</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.researchgate.net/publication/332291026_Three_methods_to_solve_two_classes_of_integral_equations_of_the_second_kind</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">40</style></volume><pages><style face="normal" font="default" size="100%">1-8</style></pages><isbn><style face="normal" font="default" size="100%">2175-1188</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p style=&quot;text-align: justify;&quot;&gt;
	Three methods to solve two classes of integral equations of the second kind are introduced in
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	this paper. Firstly, two Kantorovich methods are proposed and examined to numerically solving an integral
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	equation appearing from mathematical modeling in biology. We use a sequence of orthogonal ﬁnite rank
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	projections. The ﬁrst method is based on general grid projections. The second one is established by using
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	the shifted Legendre polynomials. We present a new convergence analysis results and we prove the associated
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	theorems. Secondly, a new Nystr¨om method is introduced for solving Fredholm integral equation of the second kind.
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