This paper provides a comparative study of the Variational Iteration Method (VIM) and the Adomian Decomposition Method (ADM) to obtain analytic approximations of a nonlinear problem that arises in the thin film flow of a third grade fluid on a moving belt. An excellent agreement is observed between the series solutions for the velocity field obtained by these two methods. This comparison is bench-marked against a numerical solution. Furthermore, the VIM has an advantage over ADM that it solves the nonlinear problems without using the Adomian polynomials.
|Original language||English (US)|
|Number of pages||9|
|Journal||Applied Mathematical Sciences|
|State||Published - Oct 16 2012|
All Science Journal Classification (ASJC) codes
- Applied Mathematics