title: Numerical solution of linear and nonlinear Fredholm integral equations by using weighted mean-value theorem.
abstract: Mean value theorems for both derivatives and integrals are very useful tools in mathematics. They can be used to obtain very important inequalities and to prove basic theorems of mathematical analysis. In this article, a semi-analytical method that is based on weighted mean-value theorem for obtaining solutions for a wide class of Fredholm integral equations of the second kind is introduced. Illustrative examples are provided to show the significant advantage of the proposed method over some existing techniques.
authors.affiliation: Department of Mathematics, Amasya University, Ipekköy, Amasya, Turkey.
authors.forename: Ahmet
authors.initials: A
authors.lastname: Altürk
keywords: Linear and nonlinear Fredholm integral equations; Systems of Fredholm integral equations; Systems of Fredholm integro-differential equations; Weighted mean value theorem