Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box 16315 − 1618, Tehran, Iran
Abstract
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.
Salehi Shayegan, A. H., Zakeri, A., & Peyghami, M. R. (2016). An approach based on statistical spline model for Volterra-Fredholm integral equations. Computational Methods for Differential Equations, 4(1), 30-42.
MLA
Amir Hossein Salehi Shayegan; Ali Zakeri; M. R. Peyghami. "An approach based on statistical spline model for Volterra-Fredholm integral equations". Computational Methods for Differential Equations, 4, 1, 2016, 30-42.
HARVARD
Salehi Shayegan, A. H., Zakeri, A., Peyghami, M. R. (2016). 'An approach based on statistical spline model for Volterra-Fredholm integral equations', Computational Methods for Differential Equations, 4(1), pp. 30-42.
VANCOUVER
Salehi Shayegan, A. H., Zakeri, A., Peyghami, M. R. An approach based on statistical spline model for Volterra-Fredholm integral equations. Computational Methods for Differential Equations, 2016; 4(1): 30-42.
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