# AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL SIMULATION OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS

@article{MoralesHernndez2012ANER, title={AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL SIMULATION OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS}, author={M. D. Morales-Hern{\'a}ndez and I. Medina-Ram{\'i}rez and F. J. Avelar-Gonz{\'a}lez and J. E. Mac{\'i}as-D{\'i}az}, journal={International Journal of Computational Methods}, year={2012}, volume={09}, pages={1250050} }

In this work, we present a simple, finite-difference method to approximate positive and bounded solutions of a parabolic partial differential equation with nonlinear diffusion, which describes the growth dynamics of colonies of bacteria. A theorem on the existence and uniqueness of positive and bounded solutions of the model considered is available in the standard literature; however, analytical solutions for this model are difficult to calculate in exact form. The linear approach used in this… Expand

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