一维Sine-Gordon方程四阶紧致有限体积方法
A Fourth-Order Compact Finite Volume Scheme for 1D Sine-Gordon Equations
DOI: 10.12677/AAM.2015.43032, PDF, HTML, XML,  被引量 下载: 2,962  浏览: 6,504  国家科技经费支持
作者: 刘盎然, 高巍*, 李宏：内蒙古大学数学科学学院，内蒙古 呼和浩特
关键词: Sine-Gordon；有限体积紧格式；Runge-Kutta方法；Sine-Gordon； Compact Method； Finite Volume Method； Runge-Kutta Method
摘要: 本文提出一个高阶方法来数值求解非线性Sine-Gordon方程。空间离散上应用四阶的紧致有限体积格式，时间离散应用三阶SSP Runge-Kutta (RK)方法。数值实验表明该算法是求解一维Sine-Gordon方程的较为高效的方法。
Abstract: In this work, we propose a compact finite volume method for solving the one-dimensional nonlinear sine-Gordon equation. The third-order SSP Runge-Kutta (RK) scheme is used for temporal disretization. Numerical experiments show that the present scheme is an efficient algorithm for solving the one-dimensional Sine-Gordon equation.
文章引用：刘盎然, 高巍, 李宏. 一维Sine-Gordon方程四阶紧致有限体积方法[J]. 应用数学进展, 2015, 4(3): 262-270. http://dx.doi.org/10.12677/AAM.2015.43032

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