TECHCOMB

Volume 2 : Issue 1

Legendre Wavelets Collocation Method for Systems of Linear and Nonlinear Fredholm Integral Equations

Authors : Edalatpanah S. A.,Saberi Najafi H.,Aminikhah H.

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Abstract:

In this paper, we propose a method to solve linear and nonlinear Fredholm integral equations system in terms of Legendre wavelets. To begin with we describe the characteristic of Legendre 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.