NUMERICAL SOLUTION for the WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATIONS of the SECOND KIND USING OHAM and MOHAM

In this research, a new approach based on an alteration of usage of optimal homotopy asymptotic method (OHAM), called multistage optimal homotopy asymptotic method (MOHAM) is utilized to derive an approximate solution to weakly singular Fredholm integral equations of the second kind. One example is provided to show the efficiency and ability of the new approach. The results will be compared to reveal the advantages of the later approach.

Keywords:

Optimal homotopy asymptotic method (OHAM) , Multistage optimal homotopy asymptotic method MOHAM) , weakly singular Fredholm integral equations of the second kind , Series solutions