An approach based on statistical spline model for Volterra-Fredholm integral equations
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-4-1_003
تاریخ نمایه سازی: 15 اسفند 1401
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.
Authors
Amir Hossein Salehi Shayegan
Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box ۱۶۳۱۵ − ۱۶۱۸, Tehran, Iran
Ali Zakeri
Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box ۱۶۳۱۵ − ۱۶۱۸, Tehran, Iran
M. R. Peyghami
Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box ۱۶۳۱۵ − ۱۶۱۸, Tehran, Iran