A NOTE ON THE LATTICE BOLTZMANN VERSUS FINITE-DIFFERENCE METHODS FOR THE NUMERICAL SOLUTION OF THE FISHER'S EQUATION

Sauro Succi ()
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Sauro Succi: Istituto Applicazioni Calcolo, Consiglio Nazionale delle Ricerche, via dei Taurini 19, 00185, Roma, Italy

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 01, 1-9

Abstract: We assess the Lattice Boltzmann (LB) method versus centered finite-difference schemes for the solution of the advection–diffusion–reaction (ADR) Fisher's equation. It is found that the LB method performs significantly better than centered finite-difference schemes, a property we attribute to the near absence of dispersion errors.

Keywords: Advection–diffusion–reaction equations; lattice Boltzmann; population dynamics (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183113400159

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