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Abstract

We consider an identification problem for the diffusion function D(c) (c=concentration) of a quasilinear parabolic differential equation using experimental data and show the numerical instability of the problem, if the data are not distributed.

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Literatur

  1. CHAVENT,G.: Estimation de paramètres distribués dans les equations aux derivees partielles. Lecture Notes in Computer Science 11, 361–390, Springer (1974).

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  2. CHAVENT,G.,LEMONNIER,P.L.: Identification de la non-linéarité d’une equation parabolique quasilinéaire. IRIA Rapp. de Rech. 45 (1973)

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  3. CRANK,J.: The Mathematics of Diffusion. Oxford, At the Clarendon Press (1956).

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  4. GALLIGANI,I.: Identification problems and modeling. Preprint (1974).

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  5. LEES,M.: A linear three-level difference scheme for quasilinear parabolic equations. Math. Comp. 20 (1966), 516–522.

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  6. TOLSTOW,G.P.: FOURIER-Reihen. Berlin,Dt. Verl. d. bliss. (1955)

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© 1976 Springer Basel AG

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Sachs, A. (1976). Numerische Simulation von Diffusionsprozessen. In: Albrecht, J., Collatz, L. (eds) Numerische Behandlung von Differentialgleichungen Band 2. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 31. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5328-6_13

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  • DOI: https://doi.org/10.1007/978-3-0348-5328-6_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-0853-7

  • Online ISBN: 978-3-0348-5328-6

  • eBook Packages: Springer Book Archive

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