Paper's Title:

Application of Chebyshev Polynomials to Volterra-Fredholm Integral Equations

Author(s):

Aissa Lakhal, Mostefa Nadir and Mohamed Nasseh Nadir

Department of Mathematics,
Faculty of Mathematics and
Informatics,
University of Msila,
Algeria.

E-mail: aissa.lakhal@univ-msila.dz
mostefa.nadir@univ-msila.dz
nadir.mohamednasseh@yahoo.com

URL: https://www.mostefanadir.com

Abstract:

The goal of this work is to examine the numerical solution of linear Volterra-Fredholm integral equations of the second kind using the first, second, third and fourth Chebyshev polynomials. Noting that, the approximate solution is given in the form of series which converges to the exact one. Numerical examples are compared with other methods, in order to prove the applicability and the efficiency of this technical.

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.

Search and serve lasted 0 second(s).