The discrete collocation method for weakly singular Urysohn equations.

In this paper, we analyse the iterated collocation method for the nonlinear Urysohn operator equation x=y+K(x) with K a singular kernel. The paper extends the study [H. Kaneko, R.D. Noren, and P.A. Padilla, J. Comput. Appl. Math. 80 (1997), pp. 335-349] in which the convergence of the iterated collocation method for Urysohn equations is considered. [ABSTRACT FROM AUTHOR]