Singularly perturbed differential equations with discontinuous coefficients and concentrated factors
作者:
Highlights:
•
摘要
In this paper singularly perturbed one-dimensional reaction–diffusion equations with discontinuous coefficients and concentrated factors are examined. A new formulation which allows us to reduce the solving of general interface problems to the corresponding ones with only discontinuous coefficients is proposed. Then, a decomposition of the solution of the problem with only discontinuous coefficients into regular and singular parts (Shishkin decomposition) is derived. Asymptotic expansion up to fourth-order for the solution in the interfaces is also constructed.
论文关键词:Reaction–diffusion,Interface problems,Singular perturbations,Boundary layer,Interior layers,Asymptotic analysis
论文评审过程:Available online 2 December 2003.
论文官网地址:https://doi.org/10.1016/j.amc.2003.10.008