NDLI: Solution of time domain problems without using the time variable

Content Provider	IEEE Xplore Digital Library
Author	Sarkar, T.K.
Copyright Year	2008
Description	Author affiliation: Coll. of Eng.&Comput. Sci., Syracuse Univ., Syracuse, NY (Sarkar, T.K.)
Abstract	In this presentation, we propose a numerical method to obtain an unconditionally stable solution for any time domain problems without using the time variable. The classes of problems not only include integral equations, but also deal with finite element time domain and finite difference time domain techniques. This novel method does not utilize the customary marching-on in time solution method often used to solve a hyperbolic partial differential equation. Instead we solve the wave equation by expressing the transient behaviors in terms of associate Laguerre polynomials. By using these orthonomal basis functions for the temporal variation, the time derivatives can not only be handled analytically, but also they can be eliminated completely from the final computations. Since these weighted associate Laguerre polynomials converge to zero as time progresses, the induced electric currents when expanded in a series of weighted Laguerre polynomials also converge to zero. In order to solve the wave equation, we introduce two separate testing procedures, a spatial and temporal testing. By introducing first use the temporal testing procedure, the marching-on in time procedure is replaced by a recursive relation between the different orders of the weighted Laguerre polynomials. The other novelty of this approach is that through the use of the entire domain Laguerre polynomials for the expansion of the temporal variation of the current, the spatial and the temporal variables can be separated. Examples will be presented using all the three classes of techniques.
Starting Page	1
Ending Page	2
File Size	50619
Page Count	2
File Format	PDF
ISBN	9781424426416
DOI	10.1109/APMC.2008.4958196
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-12-16
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Partial differential equations Testing Finite element methods Electromagnetics Adaptive signal processing Biomedical signal processing Books Broadband antennas Educational institutions
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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