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M. Mohamadi

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

[ 1 ] - A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials

In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the integral equation into a system of equations. The computed operational matrices are exact and new. The comparisons show this method is acceptable. Moreover, the stability of the proposed method is studied.

[ 2 ] - Solution of Nonlinear Fredholm-Volterra Integral Equations via Block-Pulse ‎Functions

In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Also, effect of noise shows our solutions ...