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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Xiong, L., Li, H. & Zhang, L. Two dimensional tensor product B-spline wavelet scaling functions for the solution of two-dimensional unsteady diffusion equations. J. Ocean Univ. China 7, 258–262 (2008). https://doi.org/10.1007/s11802-008-0258-z
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DOI: https://doi.org/10.1007/s11802-008-0258-z