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• W2892287211 abstract "We propose a numerical method for the simulation of a quasi-linear parabolic biofilm model that exhibits three non-linear diffusion effects: (i) a power law degeneracy, (ii) a super diffusion singularity and (iii) non-linear cross-diffusion. The method is based on a spatial Finite Volume discretisation in which cross-diffusion terms are formally treated as convection terms. Time-integration of the resulting semi-discretised system is carried out using an error-controlled, time-adaptive, embedded Rosenbrock–Wanner method. We compare several variants of the method and two variants of the model to investigate how details such as the choice cross-diffusion coefficients, and specific variants of the time integrator affect simulation time." @default.
• W2892287211 created "2018-09-27" @default.
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• W2892287211 date "2018-09-10" @default.
• W2892287211 modified "2023-10-18" @default.
• W2892287211 title "Time adaptive numerical solution of a highly non-linear degenerate cross-diffusion system arising in multi-species biofilm modelling" @default.
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• W2892287211 doi "https://doi.org/10.1017/s0956792518000554" @default.
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