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一种新的FDTD算法
引用本文:王建永,李庆武.一种新的FDTD算法[J].苏州科技学院学报(自然科学版),2009,26(1):72-75.
作者姓名:王建永  李庆武
作者单位:1. 河海大学,数理部,江苏,常州,213022
2. 河海大学,计算机与信息工程学院,江苏,常州,213022
摘    要:提出了一种新的FDTD算法,其步进方向是空间步进的,即存储的数据沿某一空间轴方向依次刷新,而不是沿时间轴方向。以一维情形为例,说明了这一算法的基本原理,给出了麦克斯韦旋度方程的差分格式、单向波方程和相应的Mur差分格式,以及波源条件。并通过数值实验验证了这一算法的有效性。

关 键 词:时域有限差分法(FDTD)  吸收边界条件(ABCs)  波源条件

A New Algorithm for FDTD
WANG Jian-yong,LI Qing-wu.A New Algorithm for FDTD[J].Journal of University of Science and Technology of Suzhou,2009,26(1):72-75.
Authors:WANG Jian-yong  LI Qing-wu
Institution:WANG Jian-yong, LI Qing-wu (1.Department of Mathematics and Physics,Hehai University,Changzhou 213022,China; 2.School of Computer and Information Engineering, Hehai University, Changzhou 213022, China)
Abstract:The stepping direction of the finite-difference time-domain method(FDTD)is time-stepplng.In this paper,a new algorithm for FDTD is proposed,whose stepping direction is space-stepping;that is,the stored data is updated along a certain space axis,but not along the time axis.Taking one-dimensional case for example,the authors have illustrated the fimdmnental principle and presented the difference scheme of Maxwell's cud equations,one-way equations and convsponding Mur scheme,wave souiEe conditions.And the validity of this algorithm is verified by numerical experiments.The principle Can be popularized to numerical solution of all kinds of differential equations.
Keywords:the finite-difference time-domain method  absorbing bDllndary conditions  wave source condition
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