用多分辨率多小波基函数求解波动方程

2010 International Conference on Wavelet Analysis and Pattern Recognition Pub Date : 2010-07-11 DOI:10.1109/ICWAPR.2010.5576390

H. Sekino, Takumi Okamoto, S. Hamada

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引用次数: 3

摘要

利用多分辨率多小波基函数在一维和二维空间中求解经典波动方程。为了避免解的不稳定性，时间级数算子采用Cayley形式表示。得到了不同初始条件下的稳定解。

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Solution of wave-equation using multiresolution multiwavelet basis function

Classical wave-equation is solved using Multiresolution Multiwavelet (MW) basis functions in one- and two-dimensional space. The time progression operator is represented using Cayley formalism in order to avoid instability of the solution. Stable solutions are obtained for different initial conditions.

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2010 International Conference on Wavelet Analysis and Pattern Recognition

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