Numerical Solution of Integro-Differential Equations with Local Polynomial Regression

نویسندگان

  • Liyun Su
  • Tianshun Yan
  • Yanyong Zhao
  • Fenglan Li
  • Ruihua Liu
چکیده

In this paper, we try to find numerical solution of               b  d , . a y x p x y x g x K x t y t t y a a x b a t b              d , . , a y x p x y x g x K x t y t t y a a x b a t b                   d x t y t t y a      a or               x  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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تاریخ انتشار 2013