An efficient nonlinear finite-difference approach in the computational modeling of the dynamics of a nonlinear diffusion-reaction equation in microbial ecology

@article{MacasDaz2013AnEN,
  title={An efficient nonlinear finite-difference approach in the computational modeling of the dynamics of a nonlinear diffusion-reaction equation in microbial ecology},
  author={J. E. Mac{\'i}as-D{\'i}az and S. Mac{\'i}as and I. Medina-Ram{\'i}rez},
  journal={Computational biology and chemistry},
  year={2013},
  volume={47},
  pages={
          24-30
        }
}
In this manuscript, we present a computational model to approximate the solutions of a partial differential equation which describes the growth dynamics of microbial films. The numerical technique reported in this work is an explicit, nonlinear finite-difference methodology which is computationally implemented using Newton's method. Our scheme is compared numerically against an implicit, linear finite-difference discretization of the same partial differential equation, whose computer coding… Expand

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