The Compact Finite Difference Method of Two-Dimensional Cattaneo Model. (28th May 2020)

• Record Type: Journal Article
• Authors: Huang, Yating; Yin, Zhe
• Other Names: Chen Chuanjun Guest Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-05-28
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/6301757
• Languages: English
• ISSNs: 2314-8896

Abstract

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.