Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals
作者：
Highlights：
• We consider the numerical solution of boundary value problems defined on semi-infinite intervals.
• Non-standard finite differences schemes on quasi-uniform grids are defined on the semi-infinite interval.
• We apply the proposed approach to the Falkner–Skan model and to a problem of interest in foundation engineering.
• The obtained numerical results are found in good agreement with those available in literature.
• We indicate a possible way to extend the proposed approach to boundary value problems defined on the whole real line.
摘要
•We consider the numerical solution of boundary value problems defined on semi-infinite intervals.•Non-standard finite differences schemes on quasi-uniform grids are defined on the semi-infinite interval.•We apply the proposed approach to the Falkner–Skan model and to a problem of interest in foundation engineering.•The obtained numerical results are found in good agreement with those available in literature.•We indicate a possible way to extend the proposed approach to boundary value problems defined on the whole real line.
论文关键词：65L10,65L12,34B40,Nonlinear boundary value problems,Infinite intervals,Quasi-uniform grid,Non-standard finite difference methods
论文评审过程：Received 7 May 2013, Revised 27 February 2014, Available online 18 March 2014.
论文官网地址：https://doi.org/10.1016/j.cam.2014.02.036
