Two Dimensional Tensor Product B-Spl

Two Dimensional Tensor Product B-Spline Wavelet Scaling Functions for the Solution of Two-Dimensional Unsteady Diffusion

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.

作 者： XIONG Lei LI haijiao ZHANG Lewen   作者单位： XIONG Lei,LI haijiao(College of Navigation, Wuhan University of Technology, Wuhan 430063, P. R. China)

ZHANG Lewen(College of Transportation, Wuhan University of Technology, Wuhan 430062, P. R. China) 

刊 名： 中国海洋大学学报（英文版）  ISTIC 英文刊名： JOURNAL OF OCEAN UNIVERSITY OF CHINA  年，卷(期)： 2008 7(3)  分类号： P7  关键词： wavelet analysis   B-spline wavelet   tensor product   resolution   diffusion equations  

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