\begin{document}$ \theta $\end{document} scheme with two dimensional wavelet-like incremental unknowns for a class of porous medium diffusion-type equations
Yang Wang, Feng Yi-fu · Numerical Algebra Control and Optimization · 2019
In this article, a $ \theta $ scheme based on wavelet-like incremental unknowns (WIU) is presented for a class of porous medium diffusion-type equations. Through some important norm inequalities, we prove the stability of $ \theta $ scheme. Compared to the classical scheme, the stability conditions are improved. Numerical results show that the $ \theta $ scheme based on the WIU decomposition is efficient.