A Spline Collocation Method and a Special Grid of Shishkin Type for a Singularly Perturbed Problem

Katarina Surla, Zorica Uzelac, Ljiljana Teofanov


We consider a singularly perturbed boundary value problem with two
small parameters. The problem is numerically treated by a
quadratic spline collocation method. The suitable choice of
collocation points and a special type Shishkin grid provide the inverse
monotonicity enabling
utilization of barrier function method in the error analysis.
Numerical results give justification of the proposed method.

[DOI: 10.1685 / CSC06142] About DOI

Full Text:


DOI: https://doi.org/10.1685/

Creative Commons License   Except where otherwise noted, content on this site is
  licensed under a Creative Commons 2.5 Italy License