شماره ركورد كنفرانس :
4079
عنوان مقاله :
A new approach to the numerical solution of Fredholm integral equations using shifted Jocobi polynomials
پديدآورندگان :
Hashemizadeh E. hashemizadeh@kiau.ac.ir Karaj Branch, Islamic Azad University , Karimi A. Karaj Branch, Islamic Azad University , Mahmoudi F. Karaj Branch, Islamic Azad University
كليدواژه :
Fredholm integral equation , shifted Jacobi polynomials , Convergence analysis , Collocation method.
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
This paper presented a numerical method for solving Fredholm integral equations. The proposed
method is based on approximating unknown function with shifted Jacobi polynomials on
the interval [−1, 1]. This method uses simple computation with quite acceptable approximate
solution. Some examples are presented to show the efficently of the method. Also, the convergece
analysis of this method is provided.
