TY - JOUR JF - IJMSI JO - IJMSI VL - 10 IS - 2 PY - 2015 Y1 - 2015/10/01 TI - A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations TT - N2 - In this paper, a reliable iterative approach, for solving a wide range of linear and nonlinear Volterra-Fredholm integral equations is established. First the approach considers a discretized form of the integral terms where considering some conditions on the kernel of the integral equation it is proved that solution of the discretized form converges to the exact solution of the problem. Then the solution of the discretized form is approximated by an iterative scheme. Comparison of the approximate solution with exact solution shows that the used approach is easy and practical for some classes of linear and nonlinear Volterra-Fredholm integral equations. SP - 1 EP - 10 AU - Hashemi Borzabadi, A. AU - Heidari, M. AD - Damghan University KW - Volterra-Fredholm integral equation KW - Discretization KW - Approximation. UR - http://ijmsi.ir/article-1-793-en.html DO - 10.7508/ijmsi.2015.02.001 ER -