Using collocation method for solving nonlinear class of Volterra integral equations based on uniform Haar wavelets

In this paper, a computational method via uniform Haar wavelets is proposed for numerically solving the nonlinear Volterra integral equations of the first kind. Convergence analysis of this method is studied. Also, the accuracy and reliability of the proposed method are demonstrated by two numerical examples.

Keywords:

Collocation method , Nonlinear Volterra integral equation , Uniform Haar wavelet , Error function