文章基本信息

标题：Unique solvability of the CCD scheme for convection–diffusion equations with variable convection coefficients
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作者：Qinghe Wang ; Kejia Pan ; Hongling Hu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：163
DOI：10.1186/s13662-018-1591-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：The combined compact difference (CCD) scheme has better spectral resolution than many other existing compact or noncompact high-order schemes, and is widely used to solve many differential equations. However, due to its implicit nature, very little theoretical results on the CCD method are known. In this paper, we provide a rigorous theoretical proof for the unique solvability of the CCD scheme for solving the convection-diffusion equation with variable convection coefficients subject to periodic boundary conditions.
关键词：Combined compact difference scheme ; Convection-diffusion equation ; Unique solvability ; Variable coefficient ; Periodic boundary conditions