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Numerical Method for the Deterministic Kardar-Parisi-Zhang Equation in Unbounded Domains |
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| Authors: | Z. Xu H. Han & X. Wu |
| Abstract: | We propose an artificial boundary method for solving the deterministicKardar-Parisi-Zhang equation in one-, two- and three- dimensional unbounded domains.The exact artificial boundary conditions are obtained on the artificial boundaries. Thenthe original problems are reduced to equivalent problems in bounded domains. A finite difference method is applied to solve the reduced problems, and some numericalexamples 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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