Numerical method with high-order polynomial reconstruction satisfying two conversation laws for linear advection equation

摘要：

In recent years, Mao and his co-workers developed a class o f finite-volume schemes for evolution partial differential equations, see [8], [6], [9], [7], [4], [3],[1]. Numerical experiments show the efficiency of the methods. In [8], Wang and Mao proposed numerical schemes satisfying two conversation laws and three conversation laws , but the reconstruction based on linear polynomial. In this paper, we develop a numerical method with quadratic polynomial reconstruction satisfying two conversation laws for linear advection equation. Numerical experiments show that our scheme is more robust in long-time behaviors than that of [8].

关键词： conversation laws high-order polynomial

作者: Rongsan Chen Anping Liu Li Xiao

作者单位: School of Mathematics and Physics, China University of Geosciences,Wuhan,P.R.China School of Mathematics and Physics, China University of Geosciences, Wuhan,P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 470-474

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）