Title of article :
Using Parametric Continuity Method for Solving Fredholm Nonlinear Integral Equations
Author/Authors :
Babaee, Majied Department of Mathematics - College of Basic Sciences - Islamic Azad University Hamedan Branch, Hamedan, Iran , Paripour, Mahmoud Department of Mathematics - College of Basic Sciences - Islamic Azad University Hamedan Branch, Hamedan, Iran , Karamikabir, Nasrin Department of Computer Engineering and Information Technology - Hamedan University of Technology, Hamedan, Iran
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.
Keywords :
Parametric continuity Method , Fredholm , Nonlinear Integral Equations , Approximate Solution
Journal title :
Theory of Approximation and Applications
