[PDF][PDF] Approximate solution of painlevé equation i by natural decomposition method and laplace decomposition method

M Amir, JA Haider, S Ahmad, S Gul… - acta mechanica et …, 2023 - sciendo.com
The Painlevé equations and their solutions occur in some areas of theoretical physics, pure
and applied mathematics. This paper applies natural decomposition method (NDM) and …

[PDF][PDF] Solutions of the nonlinear evolution problems and their applications

M Amir, JA Haider, JU Rahman, A Ashraf - acta mechanica et …, 2023 - sciendo.com
In this article, a well-known technique, the variational iterative method with the Laplace
transform, is used to solve nonlinear evolution problems of a simple pendulum and mass …

[PDF][PDF] The Variational Iteration Method for a Pendulum with a Combined Translational and Rotational System

M Amir, A Ashraf, JA Haider - acta mechanica et automatica, 2024 - sciendo.com
The dynamic analysis of complex mechanical systems often requires the application of
advanced mathematical techniques. In this study, we present a variation iteration-based …

The Homotopy Perturbation Method for Electrically Actuated Microbeams in Mems Systems Subjected to Van Der Waals Force and Multiwalled Carbon Nanotubes

M Amir, JA Haider, A Ashraf - acta mechanica et automatica, 2024 - sciendo.com
This paper presents a summary of a study that uses the Aboodh transformation and
homotopy perturbation approach to analyze the behavior of electrically actuated …