Collocation Method for Nonlinear Volterra-Fredholm Integral Equations

作     者：Jafar Ahmadi Shali Parviz Darania Ali Asgar Jodayree Akbarfam 

作者机构：Department of Mathematics and Computer Science University of Tabriz Tabriz Iran Department of Mathematics Faculty of Science Urmia University Urmia Iran 

出 版 物：《Open Journal of Applied Sciences》 (应用科学（英文）)

年 卷 期：2012年第2卷第2期

页      面：115-121页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Collocation Method Nonlinear Volterra-Fredholm Integral Equations Convergence Analysis Chelyshkov Polynomials 

摘      要：A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra- Fredholm integral equations.