标题:
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
作者:
刘盎然, 高巍, 李宏
关键字:
Sine-Gordon, 有限体积紧格式, Runge-Kutta方法Sine-Gordon, Compact Method, Finite Volume Method, Runge-Kutta Method
期刊名称:
《Advances in Applied Mathematics》, Vol.4 No.3, 2015-08-18
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。
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.