解Sine—Gordon方程的广义差分法  

The Generalized Difference Method to the Sine—Gordon Equation

作　　者：吴谷丰[1] 王学峰[2] 尹青松[2] 

机构地区：[1]广东纺织职业技术学院,广东佛山528041 [2]石河子大学,新疆石河子832000

出　　处：《石河子大学学报（自然科学版）》2004年第3期245-247,共3页Journal of Shihezi University(Natural Science)

摘　　要：本文构造了Sine—Gordon方程u_(xl)=sinu的初边值问题的一个半离散广义差分格式,证明了差分解的存在唯一性、唯一性,并估计了误差。In this paper, we have established a semi—discrete generalized difference scheme to the Sine—Gordon equation and proved the existence and uniquenessof the difference solution, and then given the priori estimation of the difference solution,finally estimated the error.

关 键 词：SINE-GORDON方程 广义差分格式 收敛性 

分 类 号：O175[理学—数学]