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An approach based on statistical spline model for Volterra-Fredholm integral equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 4، شماره 1، فروردین 2016، صفحه 30-42 اصل مقاله (538.91 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Amir Hossein Salehi Shayegan؛ Ali Zakeri* ؛ M. R. Peyghami | ||
| Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box 16315 − 1618, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Statistical spline model؛ Volterra-Fredholm integral equations؛ Convergence analysis | ||
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