Homotopy perturbation method with rank upgrading technique for the superior nonlinear oscillation

Yusry O. El-Dib

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 182, issue C, 555-565

Abstract: In the present work, the rank upgrade method is suggested to obtain a periodic approximate solution for some complicated nonlinear problems. The method depends on obtaining an equivalent simple equation having a polynomial of nonlinearity without using the Taylor expansion. The solution process is extremely simple, as simple as that by the traditional perturbation method. This approach yields a highly accurate in obtaining analyticity approximate solution for the superior nonlinear oscillation. The results are attractive and valid for both weakly and strongly nonlinear cases.

Keywords: Homotopy perturbation; Rank upgrading technique; Periodically pendulum motion; Transcendental Burgers’ equation (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475420304122
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:182:y:2021:i:c:p:555-565

DOI: 10.1016/j.matcom.2020.11.019

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().