An adaptive moving grid method for a system of singularly perturbed initial value problems

作者：

Highlights：

• We consider an adaptive moving grid approach to solve a system of first-order singularly perturbed initial value.

• A priori error analysis in maximum norm is constructed.

• The mesh is constructed adaptively by equidistributing a monitor function.

• A first-order rate of convergence, independent of all perturbation parameters is established.

摘要

•We consider an adaptive moving grid approach to solve a system of first-order singularly perturbed initial value.•A priori error analysis in maximum norm is constructed.•The mesh is constructed adaptively by equidistributing a monitor function.•A first-order rate of convergence, independent of all perturbation parameters is established.

论文关键词：65L05,65L12,65L20,65L70,Singularly perturbed,Initial value problem,Adaptive grid,Uniform convergence

论文评审过程：Received 9 May 2013, Revised 31 March 2014, Available online 7 July 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.06.022