University of MaraghehSahand Communications in Mathematical Analysis2322-580704120161101Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method577722018ENSohrabBazmDepartment of Mathematics, Faculty of Science, University of Maragheh,, P.O.Box 55181-83111 Maragheh, Iran.Journal Article20160801Alternative 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.https://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf