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 PublishingCite 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.comAbstract
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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