The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction–diffusion systems

作者：

Highlights：

• Locally extrapolated LOD exponential time differencing scheme is developed.

• Multidimensional nonlinear reaction–diffusion systems are considered.

• Monotonicity and stability are analyzed.

• The order of convergence is examined.

摘要

•Locally extrapolated LOD exponential time differencing scheme is developed.•Multidimensional nonlinear reaction–diffusion systems are considered.•Monotonicity and stability are analyzed.•The order of convergence is examined.

论文关键词：Brusselator system,Schnakenberg model,Local extrapolation,Exponential time differencing,Locally one dimensional,Approximate factorization

论文评审过程：Received 21 May 2014, Revised 31 December 2014, Available online 14 February 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2015.02.017