On Accurate Solution of the Fredholm Integral Equations of the Second Kind

Abstract

In this paper, an accurate numerical method based on the cosine-trigonometric basis functions is developed to solve the Fredholm integral equations of the second kind. By using the proposed method, the presented equation is converted into a system of algebraic equations. The convergence analysis of the proposed method is also investigated. To demonstrate the efficiency of the proposed method, the numerical simulations of various types of one- and two-dimensional examples are prepared. Comparative results show that this method is accurate than the other existing methods in the literature. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.