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Second Order Numerical Operator Splitting for 3D Advection–Diffusion-Reaction Models

Riccardo Fazio () and Alessandra Jannelli ()
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Riccardo Fazio: University of Messina, Department of Mathematics
Alessandra Jannelli: University of Messina, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 317-324 from Springer

Abstract: Abstract In this paper, we present a numerical operator splitting for time integration of 3D advection-diffusion-reaction problems. In this approach, three distinct methods of second order accuracy are proposed for solving, separately, each term involved in the model. Numerical results, obtained for advection – reported in [Fazio and Jannelli, IAENG Int. J. Appl. Math., 39, 25–35, 2009] –, diffusion, and reaction terms, show the efficiency of proposed schemes.

Keywords: Reaction Term; Adaptive Procedure; Fractional Step Method; Chemotaxis Model; Backward Differentiation Formula (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_33

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DOI: 10.1007/978-3-642-11795-4_33

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