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Volume 1, Issue 3
Numerical Method for the Deterministic Kardar-Parisi-Zhang Equation in Unbounded Domains

Z. Xu, H. Han & X. Wu

Commun. Comput. Phys., 1 (2006), pp. 479-493.

Published online: 2006-01

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  • 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.

  • Keywords

Quasilinear parabolic equation artificial boundary condition viscous HamiltonJacobi equation unbounded domain.

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COPYRIGHT: © Global Science Press

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@Article{CiCP-1-479, author = {Z. Xu, H. Han and X. Wu}, title = {Numerical Method for the Deterministic Kardar-Parisi-Zhang Equation in Unbounded Domains}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {3}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7965.html} }
TY - JOUR T1 - Numerical Method for the Deterministic Kardar-Parisi-Zhang Equation in Unbounded Domains AU - Z. Xu, H. Han & X. Wu JO - Communications in Computational Physics VL - 3 SP - 479 EP - 493 PY - 2006 DA - 2006/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7965.html KW - Quasilinear parabolic equation KW - artificial boundary condition KW - viscous HamiltonJacobi equation KW - unbounded domain. AB -

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.

Z. Xu, H. Han and X. Wu. (2006). Numerical Method for the Deterministic Kardar-Parisi-Zhang Equation in Unbounded Domains. Communications in Computational Physics. 1 (3). 479-493. doi:
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