Numerical Solution of Integro-Differential Equations with Local Polynomial Regression

DOI: 10.4236/ojs.2012.23043   PDF   HTML     4,763 Downloads   8,424 Views   Citations

Abstract

In this paper, we try to find numerical solution of y'(x)= p(x)y(x)+g(x)+λ∫ba K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b or y'(x)= p(x)y(x)+g(x)+λ∫xa K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b 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.

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L. Su, T. Yan, Y. Zhao, F. Li and R. Liu, "Numerical Solution of Integro-Differential Equations with Local Polynomial Regression," Open Journal of Statistics, Vol. 2 No. 3, 2012, pp. 352-355. doi: 10.4236/ojs.2012.23043.

Conflicts of Interest

The authors declare no conflicts of interest.

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