Using Parametric continuity method for solving Fredholm nonlinear integral equationsution
Publish place: Theory of Approximation and Applications، Vol: 15، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MSJI-15-1_012
تاریخ نمایه سازی: 28 فروردین 1402
Abstract:
This study is based on the article "Parameter Duration Method for Solving Nonlinear Fredholm Integral Equations of the Second kind "and is collected from the writings of Nineh and Vitkha.In this paper, first, the Fredholm nonlinear integral equation of the second type is solved using the parametric continuity method. Next, the parametric continuity method is introduced to solve the turbulent nonlinear integral equation of the second type, which is an extension of the paradoxical mapping method. Also, the parametric continuity method is applied to solve the nonlinear integral equation of the second type. Lastly, sample examples are given to show the effectiveness and convenience of the parametric continuity method.
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Authors
Majied Babaee
Department of Mathematics, College of Basic Sciences, Hamedan Branch, Islamic Azad University,Hamedan, Iran
Mahmoud Paripour
Department of Computer Engineering and Information Technology, Hamedan University of Technology,Hamedan, Iran
Nasrin Karamikabir
Department of Mathematics, College of Basic Sciences, Hamedan Branch, Islamic Azad University,Hamedan, Iran