A New Scheme for Solving Nonlinear Sine-Gordon Equation

摘要：

For Sine-Gordon equation having great important physical background, in this paper, we give a kind of weighted implicit difference scheme for the nonlinear Sine-Gordon equation, use the Taylor series expansion methods for non-linear approach, omit highlevel error, and keep the first three of its approach, using Fourier analysis to analyze the stability of the scheme. Finally, the numerical experiments show that the different values of the parameters have a impact on the effectiveness of the scheme and stability. We found that when the parameters is 1/2, the scheme of the numerical solution have a higher accuracy which prove that the structure of the format is practical.

关键词： Sine-Gordon equation weighted implicit scheme computational stability Fourier analysis numerical ezperiment

作者: Xiaozhong Yang Na Guo

作者单位: School of Mathematics and Physics, North China Electric Power University, Beijing 102206,PR. China C School of Mathematics and Physics, North China Electric Power University, Beijing 102206,PR. China

会议类型: 国际会议

会议名称: The First World Congress on Global Optimization in Engineering & Science(第一届工程与科学全局优化国际会议 WCGO2009)

会议地点: 长沙

会议语种:英文

页码: 248-254

在线出版日期: 2009-06-01（万方平台首次上网日期，不代表论文的发表时间）