B-spline Method for Solving Fredholm Integral Equations of the First Kind
Subject Areas : International Journal of Industrial Mathematics
KH. Maleknejad
1
,
Y. Rostami
2
1 - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
2 - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Keywords: Regularization, Cubic B-spline, Fredholm Integral Equations, Ill-posed problems, Collocation,
Abstract :
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.