A semi-Lagrangian method for a cell population model in a dynamical environment

作者：Angulo O^*; Lopez Marcos J C; Lopez Marcos M A

来源：Mathematical and Computer Modelling, 2013, 57(7-8): 1860-1866.

DOI：10.1016/j.mcm.2011.12.016

• Cell population model
• Size-structure
• Numerical simulation
• Semi-Lagrangian scheme

We formulate a numerical method on a regular grid, which is based on integration along characteristics curves, to solve a size-structured cell population model in an environment with an evolutionary resource concentration. Numerical simulations are also reported to show the convergence of the approximations and to study the dynamics of the considered problem thanks to the fine behavior of the numerical scheme.

• 出版日期2013-4