Abstract: A group of Saul’yev asymmetric difference schemes for approach the fourth order parabolic equations is given in this paper. Using the asymmetric difference schemes and the symmetric CrankNicolson type scheme, we constructed the parallel alternating difference schemes, which are absolutely stable. Numericalexperiments for the model problem show that the accuracy and stability of the schemes are good.

Key words: fourth order parabolic equations, asymmetric difference schemes, parallel computation, absolutely stable