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V. Lakshmikantham and M. R. M. Rao, “Theory of Integro-Differential Equations,” Gordon and Breach, London, 1995.

has been cited by the following article:

• TITLE: High Accuracy Arithmetic Average Discretization for Non-Linear Two Point Boundary Value Problems with a Source Function in Integral Form

  AUTHORS: Ranjan K. Mohanty, Deepika Dhall

  KEYWORDS: Variable Mesh, Arithmetic Average Discretization, Non-Linear Integro-Differential Equation, Diffusion Equation, Simpson’s 1/3 Rd Rule, Singular Coefficients, Burgers’ Equation, Maximum Absolute Errors

  JOURNAL NAME: Applied Mathematics, Vol.2 No.10, October 11, 2011

  ABSTRACT: In this article, we report the derivation of high accuracy finite difference method based on arithmetic average discretization for the solution of Un=F(x,u,u´)+∫K(x,s)ds , 0 x s