文章基本信息

标题：Characteristic Analysis of Exponential Compact Higher Order Schemes for Convection-Diffusion Equations
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作者：Y.V.S.S. Sanyasiraju ; Nachiketa Mishra
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2011
卷号：1
期号：2
页码：39-54
DOI：10.4236/ajcm.2011.12005
出版社：Scientific Research Publishing
摘要：This paper looks at the development of a class of Exponential Compact Higher Order (ECHO) schemes and attempts to comprehend their behaviour by introducing different combinations of discrete source function and its derivatives. The characteristic analysis is performed for one-dimensional schemes to understand the efficiency of the scheme and a similar analysis has been introduced for higher dimensional schemes. Finally, the developed schemes are used to solve several example problems and compared the error norms and rates of convergence.
关键词：Exponential Scheme; Compact Higher Order Scheme; Characteristics; Resolving Efficiency; Finite Difference