TY - JOUR
ID - 12353
TI - Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Darania, Parviz
AU - Ahmadi Shali, Jafar
AD - Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165, Urmia-Iran
AD - Department of Mathematics and Computer Science, University of Tabriz, Tabriz-Iran
Y1 - 2015
PY - 2015
VL - 02
IS - 1
SP - 57
EP - 69
KW - Volterra-Fredholm integral equations
KW - Product integration method
KW - Convergence analysis
DO -
N2 - In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.
UR - http://scma.maragheh.ac.ir/article_12353.html
L1 - http://scma.maragheh.ac.ir/article_12353_35fac8b4fc64368273a268e5b499aac7.pdf
ER -