黑龙江科技学院学报2011，Vol.21Issue(4)：337-341,5.
Zakharov方程组半离散Fourier谱格式的稳定性
Stability of semi-discrete Fourier spectral scheme for Zakharov equations
摘要
Abstract
Aimed at studying the solutions of numerical method of Zakharov equations in plasma physics and analyzing the stability of the approximate equations using Fourier spectral method,this paper discusses the stability of semi-discrete Fourier spectral scheme of the equations in [0,T]based on the existence and convergence of the solutions.The paper starts with proving the L2 norm of the error eM,proceeds to prove the energy norm of the error eM and ηM,and ends with proving the stability of Zakharov equations with the stability analysis method using the Grnwall inequality and the conservative nature of the Fourier spectral scheme of the equations,all of which leads to the stability conclusion of the approximate solutions in space.关键词
Zakharov方程组/Fourier谱格式/稳定性Key words
Zakharov equations/Fourier spectral scheme/stability分类
数理科学引用本文复制引用
孙璐,张法勇,朱捷,任秋萍..Zakharov方程组半离散Fourier谱格式的稳定性[J].黑龙江科技学院学报,2011,21(4):337-341,5.基金项目
黑龙江省教育厅科学技术研究指导项目 （）
