Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly-Reference-Cited by-同舟云学术

Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly

Published:2020-11-11 Issue:32 Volume:34 Page:2050313
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Anjum Naveed¹²³,He Ji-Huan¹⁴⁵

Affiliation:

1. National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, P. R. China

2. School of Mathematical Sciences, Soochow University, Suzhou, P. R. China

3. Department of Mathematics, Government College University, Faisalabad, Pakistan

4. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

5. School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China

Abstract

A modification of the homotopy perturbation method is proposed by taking advantage of the enhanced perturbation method and the parameter expanding technology. A generalized oscillatory equation and some nonlinear oscillators as the special cases of this equation are considered as examples to outline the basic properties of the modification, and the result is of high accuracy.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979220503130

Reference28 articles.

1. Homotopy perturbation technique

2. A coupling method of a homotopy technique and a perturbation technique for non-linear problems

3. AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING

4. SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

5. Homotopy perturbation method with two expanding parameters

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