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K. E. Atkinson and W. Han, “Theoretical Numerical Analysis,” Springer, Berlin, 2009.

has been cited by the following article:

• 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.