Legendre solutions of integral equations with logarithmic kernels

  • Authors:

  • A. H. Khater;A. B. Shamardan;D. K. Callebaut;M. R. A. Sakran

  • Affiliations:

  • Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt;Department of Mathematics, Faculty of Science, El-Minia University, El-Minia, Egypt;Departement Natuurkunde, CGB, University of Antwerp (UA), Antwerp, Belgium;Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt

  • Venue:
  • International Journal of Computer Mathematics
  • Year:
  • 2008

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Abstract

In this paper a finite Legendre expansion is developed to solve linear and nonlinear Volterra integral equations with logarithmic singularities in their kernels. The error analysis is derived. Numerical results and comparisons with other methods in the literature are considered.