| نویسندگان | Lotfi M., Alipanah A. |
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| نشریه | Advances in Difference Equations |
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| كد DOI/DOR | 10.1186/s13662-019-2059-7 |
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| تاریخ انتشار | ۲۰۱۹ |
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چکیده مقاله
In this paper, we study the Legendre spectral element method for solving the sine-Gordon equation in one dimension. Firstly, we discretize the equation by Legendre spectral element in space and then discretize the time by the second-order leap-frog method. We study the stability and convergence of the method and show the convergence of our method. Finally, we show the results with numerical examples. © 2019, The Author(s).
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