IJPAM: Volume 107, No. 2 (2016)
EQUATIONS BY USING HYBRID BLOCK-PULSE
FUNCTIONS AND BERNSTEIN POLYNOMIALS
Department of Mathematics
Islamic Azad University
Isfahan (Khorasgan) Branch, IRAN
Abstract. In this paper the hybrid block-pulse function and Bernstein
polynomials are introduced to approximate the solution of linear
Volterra integral equations. Both second and first kind integral
equations, with regular, as well as weakly singular kernels, have
been considered. Numerical examples are given to demonstrate the
applicability of the proposed method. The obtained results show
that the hybrid block-pulse function and Bernstein polynomials
are more accurate that Bernstein polynomials.
Received: December 1, 2015
AMS Subject Classification: 65Rxx, 45Exx, 45D05
Key Words and Phrases: block pulse functions, Volterra integral equations, Bernstein polynomials
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DOI: 10.12732/ijpam.v107i2.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 2
Pages: 331 - 341
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This work is licensed under the Creative Commons Attribution International License (CC BY).