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A NEW KIND OF UNIVERSAL DIFFERENCE SCHEME FOR SOLVING NONLINEAR SINE-GORDON EQUATION
Xiao-Zhong Yang,Na Guo * #
School of Mathematics and Physics，North China Electric Power University
*Correspondence author
#Submitted by
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Funding: 国家自然科学基金,河北省自然科学基金（No.A2007001027）
Opened online:10 June 2009
Accepted by: none
Citation: Xiao-Zhong Yang,Na Guo.A NEW KIND OF UNIVERSAL DIFFERENCE SCHEME FOR SOLVING NONLINEAR SINE-GORDON EQUATION[OL]. [10 June 2009] http://en.paper.edu.cn/en_releasepaper/content/33035
 
 
This paper discusses a kind of nonlinear Sine-Gordon equation and provides a new numerical method for solving the equations. By introducing the parameter , construct a new kind of weighted implicit difference scheme for (1+1)-dimension nonlinear Sine-Gordon equation and the generalized nonlinear Sine-Gordon equation respectively. Give out an ADI scheme for (2+1)-dimension nonlinear Sine-Gordon equation. The computing stability of these difference schemes has been analyzed using Fourier analysis respectively. Finally, some numerical examples demonstrate the feasibility and accuracy of these difference schemes.
Keywords:the nonlinear Sine-Gordon equation; universal difference schemes; computing stability; numerical experiments
 
 
 

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