NDLI: Transparent Boundary Condition for the Parabolic Equation Modeled by the 4RW

Content Provider	IEEE Xplore Digital Library
Author	Janaswamy, R.
Copyright Year	2002
Abstract	Transparent boundary condition in a 2D-space is presented for the four-state random walk (4RW) model that is used in treating the standard parabolic equation by stochastic methods. The boundary condition is exact for the discrete 4RW model, is of explicit type, and relates the field in the spectral domain at the boundary point in terms of the field at a previous interior point via a spectral transfer function. In the spatial domain, the domain of influence for the boundary condition is directly proportional to the time elapsed. By performing various approximations to the transfer function, several approximate absorbing boundary conditions can be derived that have much more limited domain of influence.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	23
Ending Page	26
Page Count	4
File Size	144485
File Format	PDF
ISSN	15361225
Volume Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Boundary conditions Schrodinger equation Atmospheric modeling Stochastic processes Difference equations Transfer functions Acoustic propagation Optical propagation Differential equations Refractive index transparent boundary condition Generating function parabolic equation random walk Schrödinger equation transform methods
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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