TY - JOUR ID - 22018 TI - Solution of nonlinear Volterra-Hammerstein integral equations using alternative Legendre collocation method JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Bazm, Sohrab AD - Department of Mathematics, Faculty of Science, University of Maragheh,, P.O.Box 55181-83111 Maragheh, Iran. Y1 - 2016 PY - 2016 VL - 04 IS - 1 SP - 57 EP - 77 KW - Nonlinear Volterra-Hammerstein integral equations KW - Alternative Legendre polynomials KW - Operational matrix KW - Collocation method DO - N2 - 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. UR - https://scma.maragheh.ac.ir/article_22018.html L1 - https://scma.maragheh.ac.ir/article_22018_9e7878429e482a2594ae157e2e39fd77.pdf ER -