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J. Pour-Mahamoud, M.Y. Rahimi-Ardabili, and S. Shahmorad, Numerical solution of system of Fredholm integro-differential equations by the Tau method, Appl. Math. Comput. 168 (2005) 465-478.

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Article

A New Collocation Method for Systems of Nonlinear Fredholm Integral Equations

1Department of Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran


Applied Mathematics and Physics. 2014, Vol. 2 No. 1, 15-18
DOI: 10.12691/amp-2-1-5
Copyright © 2014 Science and Education Publishing

Cite this paper:
S.A. Edalatpanah, E. Abdolmaleki. A New Collocation Method for Systems of Nonlinear Fredholm Integral Equations. Applied Mathematics and Physics. 2014; 2(1):15-18. doi: 10.12691/amp-2-1-5.

Correspondence to: S.A.  Edalatpanah, Department of Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran. Email: saedalat@yahoo.com

Abstract

In this paper we present a new method for solving nonlinear Fredholm integral equations system in terms of continuous Legendre multi-wavelets on the interval [0, 1). To begin with we describe the characteristic of Legendre multi-wavelets and will go on to indicate that through this method a system of Fredholm integral equations can be reduced to an algebraic equation. Convergence analysis of this method is also presented. Finally, numerical results are given which support the theoretical results.

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