B-spline Method for Solving Fredholm Integral Equations of the First Kind
عنوان مقاله: B-spline Method for Solving Fredholm Integral Equations of the First Kind
شناسه ملی مقاله: JR_IJIM-11-1_007
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_IJIM-11-1_007
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
KH. Maleknejad - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Y. Rostami - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
خلاصه مقاله:
KH. Maleknejad - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Y. Rostami - 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.
کلمات کلیدی: Ill-posed problems, Fredholm Integral Equations, Cubic B-spline, Collocation, Regularization
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1887023/