International Journal of Nonlinear Analysis and Applications

Change in the form of fourth order two-point boundary value problem for solving by Adomian decomposition and homotopy perturbation methods

Document Type : Research Paper

Authors

1 Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

2 Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16315-1618, Tehran, Iran

3 Department of mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

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 experiments.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 7
July 2023
Pages 255-260
  • Receive Date: 24 May 2022
  • Revise Date: 17 June 2022
  • Accept Date: 11 July 2022