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On the extrapolation for a singularly perturbed boundary value problem

Extrapolation bei einer singulär gestörten Randwertaufgabe

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Abstract

We consider the non-linear boundary value problem with small perturbation parameter ε. We find its numerical solution by using Richardson extrapolation on a special non-uniform discretization mesh. Both, high accuracy and uniformity in ε, are obtained. Numerical examples are provided.

Zusammenfassung

Wir betrachten die nichtlineare Randwertaufgabe mit kleinem Störungsparameter ε. Wir finden ihre numerische Lösung unter Anwendung von Richardson-Extrapolation mit einem speziellen nichtäquidistanten Diskretisierungsgitter. Man erhält gleichzeitig große Genauigkeit und gleichmäßige Konvergenz. Numerische Beispiele werden angegeben.

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Authors and Affiliations

  1. Institute of Mathematics, Dr Ilije Djuričića 4, YU-21000, Novi Sad, Yugoslavia

    R. Vulanović &  D. Herceg

  2. Advanced Technical School, Školska 1, YU-21000, Novi Sad, Yugoslavia

    N. Petrović

Authors
  1. R. Vulanović
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  2. D. Herceg
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  3. N. Petrović
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Vulanović, R., Herceg, D. & Petrović, N. On the extrapolation for a singularly perturbed boundary value problem. Computing 36, 69–79 (1986). https://doi.org/10.1007/BF02238193

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  • DOI: https://doi.org/10.1007/BF02238193

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