IJPAM: Volume 107, No. 2 (2016)

NUMERICAL SOLUTION OF VOLTERRA INTEGRAL
EQUATIONS BY USING HYBRID BLOCK-PULSE
FUNCTIONS AND BERNSTEIN POLYNOMIALS

M. Tavassoli Kajani
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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