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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
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:
‎‎‎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/