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.