Legendre spectral element method for solving sine-Gordon equation

被引：7

作者：

Lotfi, Mahmoud ^{[1
]}

Alipanah, Amjad ^{[1
]}

机构：

[1] Univ Kurdistan, Dept Appl Math, Sanandaj, Iran

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Sine-Gordon equation; Legendre spectral element method; Leap-frog method; NUMERICAL-SOLUTION; APPROXIMATION; FLOW;

D O I：

10.1186/s13662-019-2059-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：15

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