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

被引：0
|
作者：
Hulin Ren
Yiting Fan
Zhendong Luo
机构：
[1] University of Science and Technology Beijing,School of Foreign Studies
[2] North China Electric Power University,School of Mathematics and Physics
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Crank–Nicolson finite element method; Uniform transmission line equation; Stability and existence; Error estimate; Numerical test; 65N12; 65N30; 65M15;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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