%0 Journal Article %T An approach based on statistical spline model for Volterra-Fredholm integral equations %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Salehi Shayegan, Amir Hossein %A Zakeri, Ali %A Peyghami, M. R. %D 2016 %\ 01/01/2016 %V 4 %N 1 %P 30-42 %! An approach based on statistical spline model for Volterra-Fredholm integral equations %K ‎Statistical spline model %K Volterra-Fredholm integral equations %K Convergence analysis %R %X ‎In this paper‎, ‎an approach based on statistical spline model (SSM) and collocation method is proposed to solve Volterra-Fredholm integral equations‎. ‎The set of collocation nodes is chosen so that the points yield minimal error in the nodal polynomials‎. ‎Under some standard assumptions‎, ‎we establish the convergence property of this approach‎. ‎Numerical results on some problems are given to describe the introduced method‎. ‎A comparison between the numerical results and those obtained from Lagrange and Taylor collocation methods demonstrates that the proposed method generates an approximate solution with minimal error. %U https://cmde.tabrizu.ac.ir/article_5441_a9657fe62ac81db659aa73c9a11cdc0f.pdf