R. K. Mohanty and N. Khosla, “Application of TAGE Iterative Algo-rithms to an Efficient Third Order Arithmetic Average Variable Mesh Discretization for Two Point Non-Linear Boundary Value Problems,” Applied Mathematics and Computations, Vol. 172, No. 1, 2006, pp. 148-162. doi:10.1016/j.amc.2005.01.134

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