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The Crank–Nicolson finite element method for the 2D uniform transmission line equation

Authors :
Hulin Ren
Yiting Fan
Zhendong Luo
Source :
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
Publication Year :
2020
Publisher :
SpringerOpen, 2020.

Abstract

Abstract We develop the Crank–Nicolson finite element (CNFE) method for the two-dimensional (2D) uniform transmission line equation, study the stability and existence as well as error estimates for the CNFE solutions of the 2D uniform transmission line equation by strict theoretical approaches. We verify the correctness of the obtained theoretical results by means of numerical tests.

Details

Language :
English
ISSN :
1029242X
Volume :
2020
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Journal of Inequalities and Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.2f888e827a5a4fdd9b7719c1ea6c5dd0
Document Type :
article
Full Text :
https://doi.org/10.1186/s13660-020-02370-4