%0 Journal Article
%T Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Bazm, Sohrab
%D 2016
%\ 11/01/2016
%V 04
%N 1
%P 57-77
%! Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method
%K Nonlinear Volterra-Hammerstein integral equations
%K Alternative Legendre polynomials
%K Operational matrix
%K Collocation method
%R
%X Alternative Legendre polynomials (ALPs) are used to approximate the solution of a class of nonlinear Volterra-Hammerstein integral equations. For this purpose, the operational matrices of integration and the product for ALPs are derived. Then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. The error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples.
%U https://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf