非线性Sine-Gordon方程的三种差分格式  

Three difference schemes for nonlinear Sine-Gordon equations

作　　者：周艳祖[1] 张义[1] 王潇[1] 黄国英[1] 张传林[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《暨南大学学报（自然科学与医学版）》2008年第3期233-238,共6页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：广东省自然科学基金项目(07005949);广东省科技计划项目(2006B11201004)

摘　　要：给出了非线性Sine-Gordon方程的三种差分格式,并且分析了它们的局部截断误差及其稳定性和收敛性.用数值实验比较了它们的截断误差和运算速度.数值实验结果验证了这些格式的有效性与可靠性.Three difference schemes for nonlinear Sine-Gordon equation are presented. The analysis of local truncation error, stability and convergence of these schemes is also gained. Their truncation errors and speeds are compared with numerical experiments. The numerical experiments demonstrate that our algorithms are effective and reliable.

关 键 词：SINE-GORDON方程 差分格式 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]