Spline-Wavelet Solutions for Diffusion Equation
Carlo Cattani, Maria Lucia Pecoraro, Ettore Laserra · International Journal of Fluid Mechanics Research · 2002
In this paper, the Fourier solution of a mixed parabolic diffusion problem is considered and compared with the wavelet solution and with a cardinal cubic spline solution. The wavelet solution is obtained using the discrete Haar transform and the Haar wavelets are regularized by natural splines. The cubic spline solution is obtained defining a fast Spline Haar transform via matrix product.