黑龙江科技学院学报2012,Vol.22Issue(6):640-644,5.
Zakharov方程组全离散Fourier谱格式的稳定性
Stability of full-discrete Fourier spectral scheme for Zakharov equations
摘要
Abstract
Aimed at studying well-posed problem of the solutions in numerical method of Zakharov equations in plasma physics,this paper discusses the stability of the full-discrete Fourier spectral scheme.The discussion proves the L2 norm of the error eMn+1,the energy norm of the error eMn+1 and ηMn+1,and the stability of the full-discrete Fourier spectral scheme of Zakharov equations with the conservative property.The study contributes to improving the stability of semi-discrete Fourier spectral scheme in space and produces the stability theorem of the approximate solutions in the direction of time and space.关键词
Zakharov方程组/Fourier谱格式/全离散/稳定性Key words
Zakharov equations/Fourier spectral scheme/full-discrete/stability分类
数理科学引用本文复制引用
孙璐,张法勇,陈洪海,王春..Zakharov方程组全离散Fourier谱格式的稳定性[J].黑龙江科技学院学报,2012,22(6):640-644,5.基金项目
国家自然科学基金项目 ()
黑龙江省教育厅科学技术研究项目 ()