Work

On the Analytical Approximations to Kapitza’S Pendulum Oscillator Using Novel Techniques

Year: 2025

Type: article

Abstract: This paper analyzes the Kapitza pendulum oscillator equation using analytical and numerical approaches. The equation is solved analytically using precise and practical methods, resulting in novel approximations. These approximations are then examined numerically through various examples. Moreover, a comprehensive comparison between the analytical and numerical approximations is examined. Also, the distance error is estimated compared to the Runge-Kutta numerical approximations. The techniques and approximations presented in this study have significant implications for modeling various physical and engineering problems, providing valuable insights for researchers in interpreting experimental results.

Source: Romanian Journal of Physics

DOI: 10.59277/romjphys.2025.70.103

Authors: ALYOUSEF HAIFA A., SALAS ALVARO H, ALOTAIBI B.M., EL-TANTAWY S. A.

Institutions: Princess Nourah bint Abdulrahman University, Universidad Nacional de Colombia, Al Baha University, Port Said University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Princess Nourah Bint Abdulrahman University

OpenAlex ID: W4408994294

FWCI: 1.027

Cites: 34

Cited by: 1

Related to: 10