TITLE:
Collocation Method for Nonlinear Volterra-Fredholm Integral Equations
AUTHORS:
Jafar Ahmadi Shali, Parviz Darania, Ali Asgar Jodayree Akbarfam
KEYWORDS:
Collocation Method; Nonlinear Volterra-Fredholm Integral Equations; Convergence Analysis; Chelyshkov Polynomials
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.2,
June
27,
2012
ABSTRACT: 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.