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Numerische Behandlung der Diffusionsgleichung mit Konvektionsterm

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Summary

The paper describes a method for numerically solving an elliptic type differential equation connected with a diffusion problem with superimposed convection. The method consists in replacing the differential equation by a set of simultaneous difference equations which are solved exactly, thus avoiding difficulties inherent to the relaxation method. An example is treated in detail and the truncation error is discussed.

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Literaturverzeichnis

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Authors and Affiliations

  1. Mathematische Anstalt der Universität Basel, Basel

    Eduard Batschelet

  2. Physikalisch-Chemische Anstalt der Universität Basel, Basel

    Franz Grün

Authors
  1. Eduard Batschelet
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  2. Franz Grün
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Additional information

Die vorliegende Mitteilung handelt von einem Teil eines Forschungsprojektes “Probleme des Gasaustausches in der Lunge” der ArbeitsgemeinschaftK. Bucher, Pharmakologische Anstalt, undF. Grün, Physikalisch-Chemische Anstalt. Die Untersuchungen werden in verdankenswerter Weise subventioniert von der F.-Hoffmann-La-Roche-Stiftung zur Förderung wissenschaftlicher Arbeitsgemeinschaften in der Schweiz.

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Batschelet, E., Grün, F. Numerische Behandlung der Diffusionsgleichung mit Konvektionsterm. Journal of Applied Mathematics and Physics (ZAMP) 7, 113–120 (1956). https://doi.org/10.1007/BF01600781

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  • DOI: https://doi.org/10.1007/BF01600781

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