title: A novel approach to solve nonlinear Fredholm integral equations of the second kind.
abstract: In this paper, we present a novel approach to solve nonlinear Fredholm integral equations of the second kind. This algorithm is constructed by the integral mean value theorem and Newton iteration. Convergence and error analysis of the numerical solutions are given. Moreover, Numerical examples show the algorithm is very effective and simple.
authors.affiliation: School of Mathematical sciences, University of Electronic Science and Technology of China, Chengdu, 611731 Sichuan People's Republic of China.
authors.forename: Hu
authors.initials: H
authors.lastname: Li
authors.affiliation: School of Mathematical sciences, University of Electronic Science and Technology of China, Chengdu, 611731 Sichuan People's Republic of China.
authors.forename: Jin
authors.initials: J
authors.lastname: Huang
keywords: A novel approach; Integral mean value theorem; Newton iteration; Nonlinear Fredholm integral equations