- - - College of Computer Sciences and Mathematics, University of Mosul, Mosul, Republic of Iraq
- - - College of Computer Sciences and Mathematics, University of Mosul, Mosul, Republic of Iraq
- - - College of Computer Sciences and Mathematics, University of Mosul, Mosul, Republic of Iraq

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.

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