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A. Shahsavaran, E. Babolian, “Numerical Implementation of an Expansion Method for Linear Volterra Integral Equations of the Second Kind with Weakly Singular Kernels,” International Journal of Applied Mathematics, Vol. 3, No. 1, 2011, pp. 1-8.

has been cited by the following article:

• TITLE: Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method

  AUTHORS: A. Shahsavaran

  KEYWORDS: Nonlinear Fredholm-Volterra Integral Equation, Block-Pulse Function, Error Analysis, Collocation Points

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.2, June 30, 2011

  ABSTRACT: In this work, we present a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse functions (BPfs) expansion. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.