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 -