Numerical Solution of Linear Fredholm Integro-Differential Equations by Non-standard Finite Difference Method

被引：0
|
作者：
Pandey, Pramod Kumar [1 ,2 ]
机构：
[1] Univ Delhi, Dyal Singh Coll, Dept Math, Lodhi Rd, New Delhi 110003, India
[2] Univ Kurdistan Hewler, Dept Nat Resource Engn Management, Erbil, Kurdistan Regio, Iraq
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2015年 / 10卷 / 02期
关键词：
Composite Trapezoidal Method; Fredholm Integro-differential equations; Non-Linear Equation; Non-Standard Finite difference; Quadrature formulas;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider a non-standard finite difference method for numerical solution of linear Fredholm integro-differential equations. The non-standard finite difference method and the repeated / composite trapezoidal quadrature method are used to transform the Fredholm integro-differential equation into a system of non-linear algebraic equations. The numerical experiments on some linear model problems show the simplicity and efficiency of the proposed method. It is observed from the numerical experiments that our method is convergent and second order accurate.
引用
收藏
页码：1019 / 1026
页数：8
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