摘要
构造和研究了二维抛物型方程的一个高精度恒稳定的PC格式,讨论了格式的精度,给出了格式的截断误差。用分离变量法对格式进行了稳定性分析,得到了格式的绝对稳定性的结果。数值试验中的结果表明本文格式较现有同类格式的优越性和理论分析的正确性。
A PC scheme for two-dimensional parabolic equations is constructed, which is high in precise and with absolute stabilization. The accuracy of the scheme is discussed and the truncation error is analyzed. Using Fourier analysis, the stability condition for the scheme is analyzed and the result of absolute stabilization is obtained. The numerical results show the advantage and the theoretical accuracy of the proposed scheme.
出处
《工程数学学报》
CSCD
北大核心
2008年第2期373-376,共4页
Chinese Journal of Engineering Mathematics
关键词
抛物型方程
PC格式
截断误差
恒稳定
parabolic equation
PC scheme
truncation error
absolute stabilization
