An analysis of two dimensional integral equations of the second kind

  • M. M. El-Borai Alexandria University
  • M. A. Abdou Alexandria University
  • M. Basseem
Keywords: Toeplitz matrix, Nystrom method, Logarithmic kernel, Carleman kernel, linear algebraic system

Abstract

In this article, a numerical method is used to solve the two dimensional
Fredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrix and product Nystrom method. The numerical results given in this paper are computed using maple 8. The error, in each case, is computed.

Author Biographies

M. M. El-Borai, Alexandria University

Faculty of Science
Department of Mathematics

M. A. Abdou, Alexandria University
Faculty of Education
Department of Mathematics
M. Basseem
Alexandria
Tharwat
9 Mohammed Eqbal St.
Published
2007-12-05
Section
Articoli