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


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.


Boundary Condition Statistical Physic Heat Conduction Heat Source Unknown Function 
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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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