TY - JOUR
T1 - Wavelet Galerkin Methods for Aerosol Dynamic Equations in Atmospheric Environment
AU - Dong Liang, Qiang Guo & Sunling Gong
JO - Communications in Computational Physics
VL - 1
SP - 109
EP - 130
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7674.html
KW - 
AB - <p style="text-align: justify;">Aerosol modelling is very important to study and simulate the behavior of
aerosol dynamics in atmospheric environment. In this paper, we consider the general
nonlinear aerosol dynamic equations which describe the evolution of the aerosol
distribution. Continuous time and discrete time wavelet Galerkin methods are proposed
for solving this problem. By using the Schauder&#39;s fixed point theorem and the
variational technique, the global existence and uniqueness of solution of continuous
time wavelet numerical methods are established for the nonlinear aerosol dynamics
with sufficiently smooth initial conditions. Optimal error estimates are obtained for
both continuous and discrete time wavelet Galerkin schemes. Numerical examples are
given to show the efficiency of the wavelet technique</p>