JournalszaaVol. 12, No. 4pp. 723–728

A Higher Order Uniform Convergence Result for a Turning Point Problem

  • H.-G. Roos

    Technische Universität Dresden, Germany
  • R. Vulanović

    University Novi Sad, Serbia
A Higher Order Uniform Convergence Result for a Turning Point Problem cover
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Abstract

We describe a new fitted scheme, of kk-th order uniform accuracy with arbitrary kk, for a turning point problem of cusp type. The scheme is constructed by applying an iterative technique to an auxiliary problem obtained after replacing coefficient functions in the original problem by piecewise polynomials. The analysis of the scheme is based on an improved stability result.

Cite this article

H.-G. Roos, R. Vulanović, A Higher Order Uniform Convergence Result for a Turning Point Problem. Z. Anal. Anwend. 12 (1993), no. 4, pp. 723–728

DOI 10.4171/ZAA/534