摘要
给出了逼近四阶抛物方程一组新的Saul'yev非对称差分格式,利用这组非对称格式构造了一类新的交替分组显格式,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、较高的误差精度和绝对稳定性。
A group of Saul＇yev asymmetric difference schemes to approach the fourth order parabolic equations is given. By using the asymmetric difference schemes, the parallel alternating difference schemes are constructed, which are absolutely stable. Numerical experiments for the model problem are performed. The experiment shows that the schemes have good convergence, accuracy and stability.
出处
《天津工程师范学院学报》
2007年第4期32-35,共4页
Journal of Tianji University of Technology and Education
基金
天津工程师范学院科研基金项目(KJJH2007019)
关键词
四阶抛物方程
非对称格式
绝对稳定性
fourth order parabolic equations
asymmetric difference schemes
absolutely stable
