Title of article :
Change in the form of fourth order two-point boundary value problem for solving by Adomian decomposition and homotopy perturbation methods
Author/Authors :
Hosseini ، S. S. Department of Mathematics - Islamic Azad University, Ahvaz Branch , Aminataei ، Azim Faculty of Mathematics - K. N. Toosi University of Technology , Kiany ، Fatemeh Department of Mathematics - Islamic Azad University, Ahvaz Branch , Alizadeh ، Mahmood Department of Mathematics - Islamic Azad University, Ahvaz Branch , Zahraei ، Mohsen Department of mathematics - Islamic Azad University, Ahvaz Branch
Abstract :
In this paper, we convert the fourth-order differential equations with two-point boundary conditions into a differential equation with homogeneous boundary conditions. Because the decomposition methods are closely related to the McLaren series, the McLaren series has a higher accuracy for points close to zero. Then we use Adomian decomposition and homotopy perturbation methods to solve three linear and nonlinear examples.
Keywords :
Boundary value problems , Homotopy perturbation method , Adomian Decomposition Method , Modification , stability
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications
