EN
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.