Year: 2006
Communications in Computational Physics, Vol. 1 (2006), Iss. 3 : pp. 479–493
Abstract
We propose an artificial boundary method for solving the deterministic Kardar-Parisi-Zhang equation in one-, two- and three- dimensional unbounded domains. The exact artificial boundary conditions are obtained on the artificial boundaries. Then the original problems are reduced to equivalent problems in bounded domains. A finite difference method is applied to solve the reduced problems, and some numerical examples are provided to show the effectiveness of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-CiCP-7965
Communications in Computational Physics, Vol. 1 (2006), Iss. 3 : pp. 479–493
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Quasilinear parabolic equation