%0 Journal Article
%T Numerical Solution of Integro-Differential Equations with Local Polynomial Regression
%A Liyun Su
%A Tianshun Yan
%A Yanyong Zhao
%A Fenglan Li
%A Ruihua Liu
%J Open Journal of Statistics
%P 352-355
%@ 2161-7198
%D 2012
%I Scientific Research Publishing
%R 10.4236/ojs.2012.23043
%X In this paper, we try to find numerical solution of 
         y'(x)= p(x)y(x)+g(x)+¦Ë¡Ò<sup>b</sup><sub>a</sub> K(x, t)y(t)dt,  y(a)=¦Á. a¡Üx¡Üb, a¡Üt¡Üb
or 
         y'(x)= p(x)y(x)+g(x)+¦Ë¡Ò<sup>x</sup><sub>a</sub> K(x, t)y(t)dt,  y(a)=¦Á. a¡Üx¡Üb, a¡Üt¡Üb
by using Local polynomial regression (LPR) method. The numerical solution shows that this method is powerful in solving integro-differential equations. The method will be tested on three model problems in order to demonstrate its usefulness and accuracy.
%K Integro-Differential Equations
%K Local Polynomial Regression
%K Kernel Functions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=20659