We find an explicit expression of the Tutte polynomial of an $n$-fan. We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel.

The aim of this paper is to solve analytically fluid flow problems in a porous medium, the Laplace-Adomian method gives algorhims that converge faster achieve exact solution when it exists.

In this paper, we will construct the solution of Landau-Ginzburg equation by Adomian decomposition method. This method avoids linearization space and discretization time, it often gives a good approximation exact solution.