Affiliation:
1. School of Mathematics and Statistics, Shandong Normal University, Jinan, Shandong, China
Abstract
In this paper, we propose and analyze the compact finite difference scheme of the two-dimensional Cattaneo model. The stability and convergence of the scheme are proved by the energy method, the convergence orders are 2 in time and 4 in space. We also use the variables separation method to find the true solution of the problem. On this basis, the validity and accuracy of the scheme are verified by numerical experiments.
Funder
Natural Science Foundation of Shandong Province
Cited by
2 articles.
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