Title of article :
Solving Benny-Lin Equation by Adomain Decomposition Method with Genetic Algorithm
Author/Authors :
Abdulmuhsin Hamed, Almutasim University of Mosul - Mosul - Republic of Iraq , Al-Rawi, Ekhlass S University of Mosul - Mosul - Republic of Iraq , Farooq Qasim, Ahmed University of Mosul - Mosul - Republic of Iraq
Abstract :
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 (1-8), also by
using modied 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
Journal title :
International Journal of Nonlinear Analysis and Applications