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Journal of engineering physics

, Volume 22, Issue 4, pp 479–484 | Cite as

Solving boundary-value problems in heat conduction by the method of successively averaging the unknown function

  • A. Akaev
  • G. N. Dul'nev
Article
  • 17 Downloads

Abstract

An approximate analytical method is proposed by which linear boundary-value problems in heat conduction can be solved for an arbitrary distribution of heat sources and for boundary conditions of a general form.

Keywords

Boundary Condition Statistical Physic Heat Conduction Heat Source Unknown Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970).Google Scholar
  2. 2.
    L. V. Kantorovich and V. I. Krylov, Approximate Methods in Advanced Analysis [in Russian], GIFML, Moscow (1962).Google Scholar
  3. 3.
    L. Kollatz, Numerical Methods of Solving Differential Equations [Russian translation], IL, Moscow (1953).Google Scholar
  4. 4.
    G. N. Dul'nev and É. M. Semyashkin, Heat Transfer in Radioelectronic Apparatus [in Russian], Énergiya, Leningrad (1968).Google Scholar

Copyright information

© Consultants Bureau 1974

Authors and Affiliations

  • A. Akaev
    • 1
  • G. N. Dul'nev
    • 1
  1. 1.Institute of Precision Mechanics and OpticsLeningrad

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