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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

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Volume 72, Issue 6


Approximate Solutions for the Nonlinear Third-Order Ordinary Differential Equations

M.M. Fatih Karahan
Published Online: 2017-05-08 | DOI: https://doi.org/10.1515/zna-2016-0502


A new perturbation method, multiple scales Lindstedt–Poincare (MSLP) is applied to jerk equations with cubic nonlinearities. Three different jerk equations are investigated. Approximate analytical solutions and periods are obtained using MSLP method. Both approximate analytical solutions and periods are contrasted with numerical and exact results. For the case of strong nonlinearities, obtained results are in good agreement with numerical and exact ones.

Keywords: Approximate Analytical Solutions; Multiple Scales Lindstedt–Poincare (MSLP) Method; Nonlinear Third-Order Ordinary Differential Equations; Perturbation Methods; Strongly Nonlinear Systems


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About the article

Received: 2016-12-30

Accepted: 2017-04-06

Published Online: 2017-05-08

Published in Print: 2017-05-24

Citation Information: Zeitschrift für Naturforschung A, Volume 72, Issue 6, Pages 547–557, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2016-0502.

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