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2015 | 13 | 1 |

Article title

On integral equations with Weakly Singular kernel by using
Taylor series and Legendre polynomials


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This paper is concerned with the numerical solution
for a class of weakly singular Fredholm integral equations
of the second kind. The Taylor series of the unknown
function, is used to remove the singularity and the truncated
Taylor series to second order of k(x, y) about the
point (x0, y0) is used. The integrals that appear in this
method are computed exactly and some of these integrals
are computed with the Cauchy principal value without using
numerical quadratures. The solution in the Legendre
polynomial form generates a system of linear algebraic
equations, this system is solved numerically. Through numerical
examples, performance of the present method is
discussed concerning the accuracy of the method.








Physical description


10 - 11 - 2015
11 - 8 - 2015
16 - 9 - 2015


  • Department of
    Mathematics, Sciences And Research Branch, Islamic Azad University,
    Tehran, Iran
  • Department of Mathematical Sciences, University of
    South Africa, UNISA 0003, South Africa
  • Department of Mathematics, University of Mazandaran,
    Babolsar, Iran
  • Department of
    Mathematics, Sciences And Research Branch, Islamic Azad University,
    Tehran, Iran
  • Department of Mathematics and Computer Sciences,
    Faculty of Art and Science, Balgat 06530, Ankara, Turkey
  • Institute of Space Sciences, Magurele-Bucharest,


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