Solving Benny-Lin Equation by Adomain Decomposition Method with Genetic Algorithm

The nonlinear Benny-Lin equation has been solved In this paper using Adomian decomposition technique (ADM ) with different initial conditions and the results shown in Figures (۱-۸), also by using modified Adomian decomposition technique with genetic algorithm to expound the optimal equation parameters. The proposed method (GA-ADM) guarantees that the optimal parameters will be achieved precisely regardless of the complexity and multiple values of the equation. The proposed method gives more accurate results than the ADM.

Keywords:

Benny-Lin equation , Adomian-decomposition method , Genetic algorithm