A compact fourth-order unconditionally stable six-stages split-step FDTD method and numerical analysis

2014 ◽  
Vol 56 (5) ◽  
pp. 1031-1036 ◽  
Author(s):  
Yong-Dan Kong ◽  
Qing-Xin Chu ◽  
Rong-Lin Li
Keyword(s):  
Numerical Analysis ◽  
Fourth Order ◽  
Fdtd Method ◽  
Unconditionally Stable

scholarly journals Numerical Analysis of Transmission Lines Equation by new β-method Schemes

2017 ◽  
Vol 25 (2) ◽  
pp. 25-38
Author(s):  
Fatima Allali ◽  
Nour Eddine Alaa ◽  
Abdelilah Ghammaz ◽  
Hicham Rouijaa
Keyword(s):  
Numerical Analysis ◽  
Fourth Order ◽  
Transmission Lines ◽  
Numerical Experiments ◽  
Fdtd Method ◽  
Unconditionally Stable ◽  
Space And Time ◽  
Conventional Methods

AbstractIn this paper we develop a new β-method applied to the resolution of homogeneous transmission lines. A comparison with conventional methods used for this type of problems like FDTD method or classical β-method is also given. Furthermore, various numerical experiments are presented to confirm the accuracy, efficiency and stability of our proposed method. In particular, these simulations show that our new scheme is unconditionally stable and fourth-order accurate in space and time.

An unconditionally stable FDTD method based on wave equation

2008 ◽  
Vol 51 (2) ◽  
pp. 529-532 ◽  
Author(s):  
Hai Lin ◽  
Gaofeng Wang ◽  
Feng Liang
Keyword(s):  
Wave Equation ◽  
Fdtd Method ◽  
Unconditionally Stable

An efficient application of PML in fourth-order precise integration time domain method for the numerical solution of Maxwell's equations

2013 ◽  
Vol 33 (1/2) ◽  
pp. 116-125
Author(s):  
Zhongming Bai ◽  
Xikui Ma ◽  
Xu Zhuansun ◽  
Qi Liu
Keyword(s):  
Finite Difference ◽  
Numerical Solution ◽  
Fourth Order ◽  
Time Domain ◽  
Fdtd Method ◽  
Time Domain Method ◽  
Integration Time ◽  
Precise Integration ◽  
Content Type ◽  
Domain Method

Purpose – The purpose of the paper is to introduce a perfectly matched layer (PML) absorber, based on Berenger's split field PML, to the recently proposed low-dispersion precise integration time domain method using a fourth-order accurate finite difference scheme (PITD(4)). Design/methodology/approach – The validity and effectiveness of the PITD(4) method with the inclusion of the PML is investigated through a two-dimensional (2-D) point source radiating example. Findings – Numerical results indicate that the larger time steps remain unchanged in the procedure of the PITD(4) method with the PML, and meanwhile, the PITD(4) method employing the PML is of the same absorbability as that of the finite-difference time-domain (FDTD) method with the PML. In addition, it is also demonstrated that the later time reflection error of the PITD(4) method employing the PML is much lower than that of the FDTD method with the PML. Originality/value – An efficient application of PML in fourth-order precise integration time domain method for the numerical solution of Maxwell's equations.

scholarly journals ADI-FDTD Method With Fourth Order Accuracy in Time

2008 ◽  
Vol 18 (5) ◽  
pp. 296-298 ◽  
Author(s):  
Eng Leong Tan ◽  
Ding Yu Heh
Keyword(s):  
Fourth Order ◽  
Fdtd Method ◽  
Order Accuracy

The Unconditionally Stable Associated Hermite FDTD Method With Thin Wire Modeling

2021 ◽  
pp. 1-4
Author(s):  
Zi-An Chen ◽  
Shao-Bin Liu ◽  
Zheng-Yu Huang ◽  
Li-Hua Shi ◽  
Ya-Tong Hou
Keyword(s):  
Fdtd Method ◽  
Thin Wire ◽  
Unconditionally Stable
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