A novel method for nonlinear singular oscillators

Author:

Akgül Ali1,Ahmad Hijaz23ORCID,Chu Yu-Ming45,Thounthong Phatiphat6

Affiliation:

1. Art and Science Faculty, Department of Mathematics, Siirt University, Siirt, Turkey

2. Department of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan

3. Section of Mathematics, International Telematic University Uninettuno, Roma, Italy

4. Department of Mathematics, Huzhou University, Huzhou, China

5. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changasha, University of Science & Technology, Changsha, China

6. Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

Abstract

The present work deals with a study of a nonlinear singular oscillator. To approximate the frequency–amplitude relationship of the singular oscillator, reproducing kernel method is employed. The approximate solution is compared with the exact solution as well as the results obtained by the He’s frequency–amplitude formulation, to show the effectiveness of the proposed technique for solving the problem.

Funder

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

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