Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms

Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms

Year:    2009

Author:    J. Kacur, M. S. Mahmood

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-IJNAM-757

International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 89–109

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Nonlinear diffusion convection-adsorption method of characteristics.

Author Details

J. Kacur

M. S. Mahmood