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 - <p style="text-align: justify;">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.</p>