Information about the scientific journal
Submit an article to the journal
Requirements to the article
Section
Indexing
Journal archive
Tracing of postal items
Cooperation
Editorial Board
|
|
Philadelphia, USA |
|
* Scientific Article * Impact Factor 6.630 |
|
Abiev, N. A., & Turar, Z.
Implementation in maple the seqular terms elimination method for nonlinear oscillations. |
|
|
Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-95-37
DOI: https://dx.doi.org/10.15863/TAS.2021.03.95.37
Language: Russian
Citation: Abiev, N. A., & Turar, Z. (2021). Implementation in maple the seqular terms elimination method for nonlinear oscillations. ISJ Theoretical & Applied Science, 03 (95), 212-222. Soi: http://s-o-i.org/1.1/TAS-03-95-37 Doi: https://dx.doi.org/10.15863/TAS.2021.03.95.37 |
Pages: 212-222
Published: 30.03.2021
Abstract: In the paper we consider questions concerning computer interpretation of known results in the asymptotic theory of nonlinear differential equations admitting periodic solutions. The main subject of our consideration is Duffing equation describing regularly perturbed nonlinear oscillations. In the paper we suggest a computer program, which perform asymptotic expansions of Duffing equation's solution by degrees of small parameter. For seqular terms of such expansions a computer implementation of well known elimination approach is shown. Series of numerical computations are conducted and results are depicted in graphs.
Key words: nonlinear oscillations, perturbation method, small parameter, seqular term, Lindstedt-Poincare method.
|
|