Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind

Subject Areas : Differential and Integral equations

M. Paripour ¹ , Z. Shojaei ² , S. Abdolahi ³

1 - Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran
2 - Department of Mathematics, Lorestan University, Khoramabad, Iran
3 - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran

Received: 2015-05-26 Accepted : 2015-08-20 Published : 2014-03-01

Keywords: Integral equation with multiple time lags, Expansion methods, Bernstein polynomial,

Abstract :

In this paper, the Bernstein polynomials are used to approximate the solutionsof linear integral equations with multiple time lags (IEMTL) through expansion methods(collocation method, partition method, Galerkin method). The method is discussed in detail and illustrated by solving some numerical examples. Comparison between the exact andapproximated results obtained from these methods is carried out.

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