Using Parametric continuity method for solving Fredholm nonlinear integral equationsution

Subject Areas : Applied Mathematics

Majied Babaee ¹ , Mahmoud Paripour ² , Nasrin Karamikabir ³

1 - Department of Mathematics, College of Basic Sciences, Hamedan Branch, Islamic Azad University,Hamedan, Iran
2 - Department of Computer Engineering and Information Technology, Hamedan University of Technology,Hamedan, Iran
3 - Department of Mathematics, College of Basic Sciences, Hamedan Branch, Islamic Azad University,Hamedan, Iran

Received: 2021-12-24 Accepted : 2022-03-19 Published : 2021-05-01

Keywords: Fredholm Nonlinear Integral Equations, Parametric continuity Method, Approximate Solution,

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.