摘要
由于小波在时域和频域同时具有很好的局部性质 ,因此小波非常适用于局部变化比较复杂的非线性偏微分方程的数值解 文中利用Perrier-Basdevant周期样条小波基研究周期边界条件下扰动周期KdV方程的Galerkin解 ,将扰动周期KdV方程约化为一组常微分方程 ,并给出动力学行为的数值计算结果 从计算结果可看出利用小波可以很好地反映动力学行为的局部性质 。
Wavelet with good spatial and scale localization properties is suitable for numerical method of nonlinear partial differential equation with complicated changing localization.In this paper,we will use Perrier-Basdevant wavelet bases to study the Galerkin method of perturbed periodic KdV equation and the result of numerical analysis under seven modes on periodic boundary conditions is given .From the numerical analysis, we can learn that it is the good way to explore the dynamics of localization properties and it provides a new insight into the study of nonlinear partial equations of solitary system.
出处
《江苏理工大学学报（自然科学版）》
2001年第4期7-11,53,共6页
Journal of Jiangsu University of Science and Technology(Natural Science)
基金
国家自然科学基金资助项目 (10 0 710 33)
