November 22, 2024
Saeed Karimi

Saeed Karimi

Academic Rank: Associate professor
Address:
Degree: Ph.D in Applied Mathematics
Phone: 07733447965
Faculty: Faculty of Intelligent Systems and Data Science

Research

Title NUMERICAL SOLUTION OF THE SYSTEM OF LINEAR FREDHOLM INTEGRAL EQUATIONS BASED ON DEGENERATING KERNELS
Type Article
Keywords
Journal TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
DOI
Researchers Saeed Karimi (First researcher)

Abstract

n this paper, a new numerical method is proposed for solving system of linear Fredholm integral equations of the second kind. This method is based on Taylor-series expansion which degenerates kernels and reduces the system of integral equations to a block algebraic linear system. Convergence analysis is investigated and test problems are given to illustrate the robustness and efficiency of the new method.