چکیده (انگلیسی):

In this work, we present an efficient spectral-collocation method for numerical solution of a class of nonlinear weakly singular Volterra integral equations. This type of equations typically has a singular behavior at the left endpoint of the interval of integration. For overcoming this non-smooth behavior, we apply the Jacobi-collocation method. The con- vergence analysis of the proposed method is investigated in the L ∞ and the weighted L 2 norms and the results of several numerical experiments are presented which support the theoretical results. The computed results are compared wherever possible with those al- ready available in the literature.