%0 Journal Article
%T Non-Standard Difference Method for Numerical Solution of Linear Fredholm Integro-Differential Type Two-Point Boundary Value Problems
%A Pramod Kumar Pandey
%J Open Access Library Journal
%V 2
%N 9
%P 1-10
%@ 2333-9721
%D 2015
%I Open Access Library
%R 10.4236/oalib.1101465
%X In this article we have considered Fredholm integro-differential equation
type second-order boundary value problems and proposed a rational difference
method for numerical solution of the problems. The composite trapezoidal
quadrature and non-standard difference method are used to convert Fredholm integro-differential
equation into a system of equations. The numerical results in experiment on
some model problems show the simplicity and efficiency of the method. Numerical results showed that the proposed method is
convergent and at least second-order of accurate.
%K Composite Trapezoidal Method
%K Fredholm Integro-Differential Equations
%K Boundary Value Problem
%K Non-Linear Equation
%K Non-Standard Difference Method
%K Quadrature Formulas
%U http://www.oalib.com/paper/3144659