A New Method Based on Operational Matrices of Bernstein Polynomials for Nonlinear Integral Equations

摘要

An approximation method based on operational matrices of Bernstein polynomials used for the solution of Hammerstein integral equations. The operational matrices of these functions are utilized to reduce a nonlinear Hammerstein and Volterra Hammerstein integral equation to a system of nonlinear algebraic equations. The method is computationally very simple and attractive, and applications are demonstrated through illustrative examples. The results obtained are compared by the known results.