Density-pressure IBVP: Numerical analysis, simulation and cell dynamics in a colonic crypt

作者：

Highlights：

• Numerical method for convection-diffusion-reaction equations with mixed derivatives.

• Semi-discrete finite difference method considered in nonuniform rectangular grid.

• Proof of Stability and Second convergence order with respect to a discrete H1-norm.

• Application of the method for simulating the cell dynamics in a colonic crypt.

摘要

•Numerical method for convection-diffusion-reaction equations with mixed derivatives.•Semi-discrete finite difference method considered in nonuniform rectangular grid.•Proof of Stability and Second convergence order with respect to a discrete H1-norm.•Application of the method for simulating the cell dynamics in a colonic crypt.

论文关键词：Coupled system of elliptic and parabolic equations,Mixed derivatives,Finite difference methods,Cell dynamics,Colonic crypt

论文评审过程：Received 20 May 2021, Revised 30 December 2021, Accepted 17 February 2022, Available online 1 March 2022, Version of Record 1 March 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127037