期刊名称：IOP Conference Series: Earth and Environmental Science
印刷版ISSN：1755-1307
电子版ISSN：1755-1315
出版年度：2018
卷号：108
期号：4
页码：042028
DOI：10.1088/1755-1315/108/4/042028
语种：English
出版社：IOP Publishing
摘要：A three layers and nine points implicit difference scheme is proposed for solving the one dimensional diffusion equation, using the method of undetermined coefficients and the accuracy is . Though the numerical solution and the Von Neumann analysis, the stability condition is proved to be . The stability condition and accuracy of the scheme are verified by numerical calculation. Compared with the existing three—layers scheme, this paper's scheme reaches a higher accuracy in case of less nodes. In summary, the scheme mentioned in this paper has academic significance and application value.
