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

Journal of Linear and Topological Algebra

مقاله 5، دوره 03، شماره 01، خرداد 2014، صفحه 35-45   

نویسندگان

M. Paripour^{* 1}؛ Z. Shojaei²؛ S. Abdolahi³

¹Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran

²Department of Mathematics, Lorestan University, Khoramabad, Iran

³Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran

چکیده

In this paper, the Bernstein polynomials are used to approximate the solutions of 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 and approximated results obtained from these methods is carried out.

کلیدواژه‌ها

Integral equation with multiple time lags؛ Expansion methods؛ Bernstein polynomial

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