Paripour, M., Shojaei, Z., Abdolahi, S. (2014). Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind. Journal of Linear and Topological Algebra (JLTA), 03(01), 35-45.

M. Paripour; Z. Shojaei; S. Abdolahi. "Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind". Journal of Linear and Topological Algebra (JLTA), 03, 01, 2014, 35-45.

Paripour, M., Shojaei, Z., Abdolahi, S. (2014). 'Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind', Journal of Linear and Topological Algebra (JLTA), 03(01), pp. 35-45.

Paripour, M., Shojaei, Z., Abdolahi, S. Expansion methods for solving integral equations with multiple time lags using Bernstein polynomial of the second kind. Journal of Linear and Topological Algebra (JLTA), 2014; 03(01): 35-45.

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

^{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

Abstract

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.

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