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

Katarina Surla, Zorica Uzelac, Ljiljana Teofanov

Abstract


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

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[DOI: 10.1685/] About DOI

Url Resolver: : http://dx.doi.org/10.1685/





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