Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 7 2023 07 01 Change in the form of fourth order two-point boundary value problem for solving by Adomian decomposition and homotopy perturbation methods 255 260 7176 10.22075/ijnaa.2022.27492.3639 EN Sayd Siavash Hosseini Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran Azim Aminataei Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16315-1618, Tehran, Iran Fatemeh Kiany Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran Mohsen Zahraei Department of mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran Mahmood Alizadeh Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran Journal Article 2022 05 24 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. https://ijnaa.semnan.ac.ir/article_7176_ebe7eea1ad5931923b7e20752d61f7ca.pdf