An analysis of two dimensional integral equations of the second kind

Authors

  • 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.

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Published

2007-12-05

Issue

Vol. 62 No. 1 (2007)

Section

Articoli

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