TY - JOUR
T1 - Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms
AU - Kacur , J.
AU - Mahmood , M. S.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 89
EP - 109
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/757.html
KW - Nonlinear diffusion, convection-adsorption, method of characteristics.
AB - <p style="text-align: justify;">We use the modified method of characteristics for solving nonlinear
convection diffusion problems with memory terms. The convergence
of approximation scheme is proved under minimal regularity assumptions on
the velocity field and on the solution. The results are supported by numerical
experiments for contaminant transport with diffusion and non-equilibrium
sorption isotherms.</p>