Change in the form of fourth order two-point boundary value problem for solving by Adomian decomposition and homotopy perturbation methods
نویسندگان
1 Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16315-1618, Tehran, Iran
2 Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
3 Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
4 Department of mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
5 Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
doi
10.22075/ijnaa.2022.27492.3639چکیده
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 experiments.
