摘要
本文提出了关于Ｓｉｎｅ－Ｇｏｒｄｏｎ方程的一个守恒的九点差分格式，对解进行了先验估计，证明了数值解的收敛性和稳定性，数值实验结果表明，方法是可靠的，并且适当选择参数后，可达到很好的计算精度．
In this paper,a conserving nine points finite defference scheme for the Sine Gordon equation is proposed.The advance estimation for its solution is made,and its convergence and stability are proved.Numerical simulation of a soliton shows that the new scheme is reliable and has very good computing accuracy when the parameter is suitably selected.
出处
《应用数学》
CSCD
1999年第3期30-35,共6页
Mathematica Applicata
关键词
差分格式
收敛性
稳定性
九点差分格式
S-G方程
Sine Gordon equation
Finite difference Scheme
Conservation
Convergence
Stability
