文章基本信息

标题：Fourth-order compact finite difference method for solving two-dimensional convection–diffusion equation
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作者：Lingyu Li ; Ziwen Jiang ; Zhe Yin 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：234
DOI：10.1186/s13662-018-1652-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：A fourth-order compact finite difference scheme of the two-dimensional convection–diffusion equation is proposed to solve groundwater pollution problems. A suitable scheme is constructed to simulate the law of movement of pollutants in the medium, which is spatially fourth-order accurate and temporally second-order accurate. The matrix form and solving methods for the linear system of equations are discussed. The theoretical analysis of unconditionally stable character of the scheme is verified by the Fourier amplification factor method. Numerical experiments are given to demonstrate the efficiency and accuracy of the scheme proposed, and these show excellent agreement with the exact solution.