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

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

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 v...

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Bibliographic Details
Main Authors: Hulin Ren, Yiting Fan, Zhendong Luo
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of Inequalities and Applications
Subjects:
Crank–Nicolson finite element method
Uniform transmission line equation
Stability and existence
Error estimate
Numerical test
Online Access:http://link.springer.com/article/10.1186/s13660-020-02370-4
Description
Summary: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.
ISSN:1029-242X

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