... for the resolution of linear equations. However, the Adomian decomposition mechanism must be integrated with a numerical technique, such as the separation method, to effectively solve nonlinear equations. This work investigates the coupling of the Adomian decomposition method and the Aboodh transform. This work aims...

...Ming-Xian Lin; Chia-Hsiang Tseng; Chao Kuang Chen Purpose This paper presents the problems using Laplace Adomian decomposition method (LADM) for investigating the deformation and nonlinear behavior of the large deflection problems on Euler-Bernoulli beam. Design/methodology/approach...

...Erman Şentürk; Safa Bozkurt Coşkun; Mehmet Tarık Atay Purpose The purpose of the study is to obtain an analytical approximate solution for jamming transition problem (JTP) using Adomian decomposition method (ADM). Design/methodology/approach In this study, the jamming transition is presented...

...Cha’o Kuang Chen; Yu-Shen Chang; Chin-Chia Liu; Bang-Shiuh Chen Purpose This paper aims to use the Laplace Adomian decomposition method (LADM) to investigate the effects of thermal convection, thermal conduction, surface emissivity and thermal radiation on the heat dissipated by a continuously...