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