F. Mirzaee

[ 1 ] - Numerical solution of nonlinear Hammerstein integral equations by using Legendre-Bernstein basis

In this study a numerical method is developed to solve the Hammerstein integral equations. To this end the kernel has been approximated using the leastsquares approximation schemes based on Legender-Bernstein basis. The Legender polynomials are orthogonal and these properties improve the accuracy of the approximations. Also the nonlinear unknown function has been approximated by using the Berns...