This work is concerned with the numerical solution of a nonlinear weakly singular Volterra integral equation. Owing to I he singular behavior of the solution near the origin, the global convergence order of product integration and collocation methods is not optimal. In order to recover the optimal orders a hybrid collocation method is used which combines a non-polynomial approximation on the first subinterval followed by piecewise polynomial collocation on a graded mesh. Some numerical examples are presented which illustrate the theoretical results and the performance of the method. A comparison is made with the standard graded collocation method. (C) 2010 Elsevier B.V. All rights reserved.