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

Z. Xu, H. Han & X. Wu

DOI:

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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@Article{CiCP-1-479, author = {}, 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 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 & X. Wu. (2020). 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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