B-spline Method for Solving Fredholm Integral Equations of the First Kind
الموضوعات : مجله بین المللی ریاضیات صنعتی
KH. Maleknejad
1
(Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
Y. Rostami
2
(Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
الکلمات المفتاحية: Regularization, Cubic B-spline, Fredholm Integral Equations, Ill-posed problems, Collocation,
ملخص المقالة :
‎‎‎In this paper‎, we use the collocation method for to find an approximate solution of the problem by cubic B-spline basis.‎ The proposed method as a basic function led matrix systems, including band matrices and smoothness and capability to handle low calculative costly. ‎The absolute errors in the solution are compared to existing methods to verify the accuracy and convergent nature of proposed ‎method.
