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

الموضوعات :

M. Paripour ¹ (Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran)
Z. Shojaei ² (Department of Mathematics, Lorestan University, Khoramabad, Iran)
S. Abdolahi ³ (Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran)

تاريخ الإرسال : 08 الثلاثاء , شعبان, 1436 تاريخ التأكيد : 05 الخميس , ذو القعدة, 1436 تاريخ الإصدار : 29 السبت , ربيع الثاني, 1435

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

ملخص المقالة :

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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