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- W2935753663 abstract "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." @default.
- W2935753663 created "2019-04-25" @default.
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- W2935753663 date "2019-03-18" @default.
- W2935753663 modified "2023-09-24" @default.
- W2935753663 title "Legendre spectral element method for solving sine-Gordon equation" @default.
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- W2935753663 doi "https://doi.org/10.1186/s13662-019-2059-7" @default.
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