摘要
构造了一类移动网格下的Crank-Nicolson差分格式,用于求解含源项非定常的对流扩散问题.首先,介绍了其网格迭代的方法和算法,通过数值实验实现该算法.然后,将由此算法求解的结果误差与均匀网格下求解的误差相比较,证明了移动网格下的Crank-Nicolson差分格式是求解含源项非定常奇异摄动的对流扩散问题的有效方法之一.
A Crank-Nicolson difference scheme on moving mesh for a class of unsteady singularly perturbed convection-diffusion problem with source term was constructed,and its iterative method and algorithm were introduced.The error on moving mesh and that on uniform mesh was compared by numerical experiments,and it proved that one of the effective methods for solving singular perturbation when using Crank-Nicolson difference scheme on moving mesh.
出处
《纺织高校基础科学学报》
CAS
2016年第1期59-65,共7页
Basic Sciences Journal of Textile Universities
基金
Supported by the National Natural Science Foundation of China(11171043)
the National Key Basic Research Project of China(CHD2012TD015)
