Two dimensional tensor product B-spline wavelet scaling functions for the solution of two-dimensional unsteady diffusion equations

被引：0
|
作者：
Xiong L. [1 ]
Li H. [1 ]
Zhang L. [2 ]
机构：
[1] College of Navigation, Wuhan University of Technology
[2] College of Transportation, Wuhan University of Technology
来源：
Journal of Ocean University of China | 2008年 / 7卷 / 3期
关键词：
B-spline wavelet; Diffusion equations; Resolution; Tensor product; Wavelet analysis;
D O I：
10.1007/s11802-008-0258-z
中图分类号：
学科分类号：
摘要：
The fourth-order B spline wavelet scaling functions are used to solve the two-dimensional unsteady diffusion equation. The calculations from a case history indicate that the method provides high accuracy and the computational efficiency is enhanced due to the small matrix derived from this method. The respective features of 3-spline wavelet scaling functions, 4-spline wavelet scaling functions and quasi-wavelet used to solve the two-dimensional unsteady diffusion equation are compared. The proposed method has potential applications in many fields including marine science. © Science Press, Ocean University of China and Springer-Verlag GmbH 2008.
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收藏
页码：258 / 262
页数：4
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