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

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.