摘要
为了设计求解色散方程Ut=auxxx的适合于并行机的差分数值方法,构造出求解色散方程的无条件稳定的三层隐式差分格式;该格式的局部截断误差为O(ι2+h2+ι2/h3)(其中ι和h分别为时间步长和空间步长).以此隐格式为基础,设计出交替分组显式(AGE)迭代方法,并证明了该迭代过程的收敛性.由于本方法的整个计算过程是显式的,非常适合于并行计算.数值算例表明,本方法具有良好的实用性.
In order to propose difference method that is suitable to parallel computer for solving dispersive e-quation u1= auxxx a three - level implicit difference scheme with unconditional is designed, its local truncation error is O(ι+ h2 + ι2/h ) , where T is time step size and h is space step size . Then on the base of this scheme, an alternating group explicit iteration ( AGEI) method is proposed and its convergence is proved. The AGE1 method is suitable for parallel arithmetic because it is an explicit method. A numerical example shows that the method has good applicability.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2002年第6期803-805,共3页
Journal of Harbin Institute of Technology
基金
国家自然科学基金资助项目(60074015)
哈尔滨工业大学校科学研究基金资助项目(2000-007).
