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Volume 6, Issue 1
Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms

J. Kacur & M. S. Mahmood

Int. J. Numer. Anal. Mod., 6 (2009), pp. 89-109.

Published online: 2009-06

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  • Abstract

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.

  • Keywords

Nonlinear diffusion, convection-adsorption, method of characteristics.

  • AMS Subject Headings

65M25, 35K57, 65N12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-6-89, author = {Kacur , J. and Mahmood , M. S.}, title = {Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {1}, pages = {89--109}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/757.html} }
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 -

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.

Kacur , J. and Mahmood , M. S.. (2009). Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms. International Journal of Numerical Analysis and Modeling. 6 (1). 89-109. doi:
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