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Solution of Convection-Diffusion Problems with the Memory Terms

In: Applied Nonlinear Analysis

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  • Jozef Kačur

Abstract

A new numerical scheme is proposed for solving a contaminant transport problem with adsorption. Both, equilibrium and nonequilibrium sorption modes with Freundlich and langmiur type isotherms are included in the considered mathematical model. The approximation scheme is based on a relaxation scheme and on the method of characteristics. The convergence of approximation scheme is proved and some numerical experiments are presented.

Suggested Citation

  • Jozef Kačur, 2002. "Solution of Convection-Diffusion Problems with the Memory Terms," Springer Books, in: Adélia Sequeira & Hugo Beirão da Veiga & Juha Hans Videman (ed.), Applied Nonlinear Analysis, pages 199-212, Springer.
    • Handle: RePEc:spr:sprchp:978-0-306-47096-7_15
    DOI: 10.1007/0-306-47096-9_15
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