四阶抛物方程一类新的并行交替分段隐格式

Parallel Alternating Difference Implicit Schemes for Fourth Order Parabolic Equations

给出了逼近四阶抛物方程的一组新Saul’yev非对称差分格式,利用这组非对称格式和对称的Crank-N icolson格式构造了一类新的并行交替分段隐格式算法,并证明了该算法的绝对稳定性.数值实验表明,该格式具有良好的收敛性、误差精度和稳定性.

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.