A New Collocation Method for Systems of Nonlinear Fredholm Integral Equations

S.A. Edalatpanah^1, and E. Abdolmaleki¹

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

Cite this paper:
S.A. Edalatpanah and 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

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.

Keywords:
nonlinear Fredholm integral equation system of integral equations Legendre multi-wavelets collocation method Multiresolution of analysis (MRA) algebraic equations

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