High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures

• In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy in the Bounded-Lipschitz norm is achieved by both schemes.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Coagulation-fragmentation equation

size structured populations

radon measures equipped with Bounded-Lipschitz Norm

finite difference schemes

high resolution methods

Matematik

Mathematics

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