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H. Brunner, “The Numerical Solution of Weakly Singular Volterra Functional Integro-Differential Equations with Variable Delays,” Communications on Pure and Applied Analysis, Vol. 5, No. 2, 2006, pp. 261-276. doi:10.3934/cpaa.2006.5.261

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.