Abstract
We present a numerical method for a highly nonlinear PDE model of biofilm response to antibiotics with three nonlinear diffusion effects: (i) porous medium degeneracy, (ii) super-diffusion singularity, (iii) nonlinear cross-diffusion. The scheme is based on a Finite Volume discretization in space and semi-implicit, non-local time integration. The resulting discretized system is implemented in Fortran and parallelized with OpenMP. The numerical method is validated in a simulation study.
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Rahman, K., Eberl, H.J. (2014). Numerical Treatment of a Cross-Diffusion Model of Biofilm Exposure to Antimicrobials. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55224-3_14
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DOI: https://doi.org/10.1007/978-3-642-55224-3_14
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