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Open Engineering

formerly Central European Journal of Engineering

Editor-in-Chief: Ritter, William

CiteScore 2018: 0.91

SCImago Journal Rank (SJR) 2018: 0.211
Source Normalized Impact per Paper (SNIP) 2018: 0.655

ICV 2017: 100.00

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The variational iteration method for solving linear and nonlinear ODEs and scientific models with variable coefficients

Abdul-Majid Wazwaz
Published Online: 2014-03-15 | DOI: https://doi.org/10.2478/s13531-013-0141-6


We apply the variational iteration method (VIM) for solving linear and nonlinear ordinary differential equations with variable coefficients. We use distinct Lagrange multiplier for each order of ODE. We emphasize the power of the method by testing a variety of models with distinct orders and variable coefficients. Scientific models, namely, the hybrid selection model, the Thomas-Fermi equation, the Kidder equation of the Unsteady flow of gas through a porous medium, and the Riccati equation, are studied as well.

Keywords: Variational iteration method; Thomas-Fermi equation; hybrid model; Kidder equation

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About the article

Published Online: 2014-03-15

Published in Print: 2014-03-01

Citation Information: Open Engineering, Volume 4, Issue 1, Pages 64–71, ISSN (Online) 2391-5439, DOI: https://doi.org/10.2478/s13531-013-0141-6.

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© 2014 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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