Two dimensional tensor product B-spline wavelet scaling functions for the solution of two-dimensional unsteady diffusion equations |
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| Authors: | Lei Xiong Haijiao Li Lewen Zhang |
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| Institution: | 1. College of Navigation, Wuhan University of Technology, Wuhan 430063, P. R. China
2. College of Transportation, Wuhan University of Technology, Wuhan 430062, P. R. China |
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| Abstract: | 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. |
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| Keywords: | wavelet analysis B-spline wavelet tensor product resolution diffusion equations |
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