AD-FDSD for convection-diffusion problems

AD-FDSD for convection-diffusion problems
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DOI：
10.1016/j.amc.2008.02.025
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发表时间：
2008-12
期刊：
Appl. Math. Comput.
影响因子：
--
通讯作者：
Yang Zhang
Yang Zhang
中科院分区：
其他
文献类型：
--
作者：
Yang Zhang

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In this paper, alternating-direction method is combined with finite difference streamline-diffusion (FDSD) method to form an alternating-direction–FDSD procedure for two-dimensional nonlinear convection-dominated diffusion equations. Moreover, realisation of computation, analysis of stability and error estimation are presented. Numerical examples are also presented to demonstrate the method. Not only does this new method lower the dimension of solving two-dimensional nonlinear convection–diffusion equation, but it also keeps the stability and high accuracy of FDSD method.