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

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  • Katarina Surla
  • Zorica Uzelac
  • Ljiljana Teofanov

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https://doi.org/10.1685/

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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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2007-10-01

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##issue.vol## 1 (2006)

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Articles

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