TITLE:
Non-Standard Difference Method for Numerical Solution of Linear Fredholm Integro-Differential Type Two-Point Boundary Value Problems
AUTHORS:
Pramod Kumar Pandey
KEYWORDS:
Composite Trapezoidal Method, Fredholm Integro-Differential Equations, Boundary Value Problem, Non-Linear Equation, Non-Standard Difference Method, Quadrature Formulas
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.9,
September
17,
2015
ABSTRACT: 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.