Paper's Title:

Rational Functions of Chebyshev Polynomials for Volterra-Fredholm Integral Equations

Author(s):

Fakhreddine Seghiri and Mostefa Nadir

Department of Mathematics University of Msila,
University Pole, Rode Bordj Bou Arreridj Msila 28000
Algeria.
E-mail: Fakhreddine.seghiri@univ-msila.dz
mostefa.nadir@univ-msila.dz

Abstract:

In this work, we treat a new numerical method for solving Volterra-Fredholm integral equations of the second kind. This method is based on orthogonal basis of rational functions derived from Chebyshev polynomials of the first kind. The approximate solution by this series converges to the exact solution. Numerical examples are presented and compared with other methods, in the goal to show the applicability and the efficiency of this method.

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