Using Parametric continuity method for solving Fredholm nonlinear integral equationsution

Theory of Approximation and Applications

مقاله 12، دوره 15، شماره 1، مرداد 2021، صفحه 140-157   

نوع مقاله: Research Articles

نویسندگان

Majied Babaee^{* 1}؛ Mahmoud Paripour²؛ Nasrin Karamikabir¹

¹Department of Mathematics, College of Basic Sciences, Hamedan Branch, Islamic Azad University,Hamedan, Iran

²Department of Computer Engineering and Information Technology, Hamedan University of Technology,Hamedan, Iran

چکیده

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.

کلیدواژه‌ها

Parametric continuity Method؛ Fredholm Nonlinear Integral Equations؛ Approximate Solution