NDLI: Efficient solution of Noye–Hayman implicit finite-difference method for modelling wave propagation in tunnels

Content Provider	IET Digital Library
Author	Rasool, H. F. Qureshi, M. A. Aziz, A. Malik, F. H.
Abstract	Parabolic equation models discretised with the finite-difference method have been a research topic for a long time. Through the simulation of electromagnetic wave propagation characteristics in typical scenarios, it is pointed out that the fast algorithm needs to be developed for the solution of two-level Noye–Hayman (NH2) implicit method to meet the accuracy and computational requirements of electromagnetic wave propagation problems in three-dimensional environments. In this Letter, hierarchical skeletonisation is used for an efficient inversion of three-dimensional parabolic equation discretised by the NH2 implicit method which is the modification of conventional Crank–Nicolson (CN) method. Numerical results show that the NH2 implicit method is more accurate than the CN method at no additional cost for a given numerical example.
Starting Page	1167
Ending Page	1169
Page Count	3
ISSN	00135194
Volume Number	56
e-ISSN	1350911X
Issue Number	Issue 22, Oct (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/el/56/22
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/el.2020.1978
Journal	Electronics Letters
Publisher Date	2020-09-25
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	CN Method Computational Requirements Conventional Crank–Nicolson Method Efficient Inversion Electromagnetic Wave Propagation Electromagnetic Wave Propagation Characteristic Electromagnetic Wave Propagation Problem Finite Difference Method Function Theory And Analysis NH2 Implicit Method Noye–Hayman Implicit Finite-difference Method Numerical Approximation And Analysis Parabolic Equation Parabolic Equation Model Three-dimensional Parabolic Equation Two-level Noye–Hayman Implicit Method Wave And Wave Propagation: General Mathematical Aspects Wave Propagation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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