θ SCHEME WITH TWO DIMENSIONAL WAVELET-LIKE INCREMENTAL UNKNOWNS FOR A CLASS OF POROUS MEDIUM DIFFUSION-TYPE EQUATIONS

摘要

In this article, a θ 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 θ scheme. Compared to the classical scheme, the stability conditions are improved. Numerical results show that the θ scheme based on the WIU decomposition is efficient.