[1]孔令华,田娜娜,张 鹏.2维Maxwell方程的局部1维高阶紧致格式[J].江西师范大学学报(自然科学版),2019,(01):31-34.[doi:10.16357/j.cnki.issn1000-5862.2019.01.06]
　KONG Linghua,TIAN Nana,ZHANG Peng.The Local One-Dimensional and High-Order Compact Scheme for Two-dimensional Maxwell Equation[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(01):31-34.[doi:10.16357/j.cnki.issn1000-5862.2019.01.06]
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2维Maxwell方程的局部1维高阶紧致格式()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年01期
页码:
31-34
栏目:
数学与应用数学
出版日期:
2019-02-10

文章信息/Info

Title:
The Local One-Dimensional and High-Order Compact Scheme for Two-dimensional Maxwell Equation
文章编号:
1000-5862(2019)01-0031-04
作者:
孔令华; 田娜娜; 张 鹏
江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
KONG Linghua; TIAN Nana; ZHANG Peng
College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
Maxwell方程;  局部1维格式;  高阶紧致格式
Keywords:
Maxwell equation;  local one-dimensional method;  high order compact method
分类号:
O 241.8
DOI:
10.16357/j.cnki.issn1000-5862.2019.01.06
文献标志码:
A
摘要:
将算子分裂方法与高阶紧致差分方法相结合,构造了2维Maxwell方程的局部1维紧致时域有限差分格式.该格式在时间方向和空间方向分别具有1阶和4阶收敛精度,并且具有计算效率高、无条件稳定的优点.数值实验表明:新构造的格式是能量守恒、高效率的.
Abstract:
The main interests in this paper are to combine the splitting method and high-order compact finite different time domain for two-dimensional(2D)Maxwell equation.This scheme is of first order convergent rate in time and fourth order in space by Taylor expansion.Moreover,it does focus the advantages of both local one-dimensional method and high order compact schemes,such as highly efficient,unconditionally stable.Numerical experiments illustrate the correctness of the theoretical analysis.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-09-26
基金项目:国家自然科学基金(11301234,11271171)和江西省自然科学基金(20161ACB20006,20142BCB23009,20181BAB201008)资助项目.
作者简介:孔令华(1977-),男,江西石城人,教授,博士,博士生导师,主要从事偏微分方程数值解法研究.E-mail:konglh@mail.ustc.edu.cn
更新日期/Last Update: 2019-02-10