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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. AMS Subject Classification: 65Rxx, 45Exx, 45D05

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