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https://hdl.handle.net/11499/7062| Title: | Homotopy analysis method for the sine-Gordon equation with initial conditions | Authors: | Yücel, Uğur | Keywords: | Homotopy analysis method Homotopy perturbation method Sine-Gordon equation Variational iteration method Boundary layer flow Electric currents Iterative methods Partial differential equations Approximate analytical solutions Convergence region HAM solutions Initial conditions Series solutions Sine-Gordon equations Solutions |
Abstract: | In this work, approximate analytical solution of the sine-Gordon equation with initial conditions is obtained by the homotopy analysis method (HAM). The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions. It is shown that the solutions obtained by the variational iteration method (VIM) are only special cases of the HAM solutions. © 2008 Elsevier Inc. All rights reserved. | URI: | https://hdl.handle.net/11499/7062 https://doi.org/10.1016/j.amc.2008.04.042 |
ISSN: | 0096-3003 |
| Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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