Approximate solutions of second kind of nonlinear Volterra Integral Equations

Résumé

In this article we find out the analytical solutions of some nonlinear problems of second kind of Volterra integral equations (VIE) by Optimal Homotopy asymptotic method (OHAM) and Adomian decomposition method (ADM). From the comparative assessment of both solutions, it is concluded that OHAM is operative, simple and unambiguous as like ADM. To show the effectiveness of these approaches, we showed the quick convergence of OHAM and ADM, also listed a few models to verify the exactness and correctness of these methods. The exactness, precision, and convergence of both methods are evident in graphical analysis. These techniques have mechanized steps which can be easily attained by means of Mathematica.