A variational method for solving Fredholm integral systems

  • Authors:

  • A. Kouibia;M. Pasadas;M. L. RodríGuez

  • Affiliations:

  • Department of Applied Mathematics, University of Granada, 18071 Granada, Spain;Department of Applied Mathematics, University of Granada, 18071 Granada, Spain;Department of Applied Mathematics, University of Granada, 18071 Granada, Spain

  • Venue:
  • Applied Numerical Mathematics
  • Year:
  • 2012

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Abstract

In this paper, we propose a new approach for solving second kind Fredholm integral equation system. The method is based on the minimization of a suitable functional in a certain Sobolev space. We study the convergence of the method and we present some numerical examples in order to show the validity of the proposed method.