摘要
基于紧致差分方法,推导出一个时间和空间方向均为四阶精度的三层隐式紧致格式,并采用Fourier分析法给出了格式的稳定性条件.最后,数值例子验证了所给出来的格式的精度和可靠性.
Based on the compact finite difference method,a three-layer implicit compact scheme with fourth-order accuracy in temporal and spatial directions was derived,and the stability condition of the scheme was given by using the Fourier analytic method.Finally,the accuracy and the reliabihty of the scheme proposed in this paper was verified through numerical examples.
出处
《数学的实践与认识》
北大核心
2017年第7期146-151,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11271171
11501224)
福建省自然科学基金(2011J01010)
华侨大学中青年教师科研提升资助计划项目(ZQN-PY201)
