B-spline Method for Solving Fredholm Integral Equations of the First ‎Kind

Document Type: Research Paper


1 Department of Mathematics, ‎Karaj Branch‎, ‎Islamic Azad University, ‎Karaj‎, ‎Iran.

2 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.


‎‎‎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.