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Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions

Abstract

Using a special psi-function the paper presents an exact and approximate (with an error evaluation) solutions of the mixed problem pertaining to one-dimensional heat conduction equation. An advantage of the obtained approximate formula is its comparative simplicity and absence of quadratures.

References

1. Дифференциальные уравнения математической физики / Н. С. Кошляков [и др.]. – М.: ГИФМЛ, 1962. – 767 с.


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Lasy P.G., Meleshko I.N. Approximate Representation of One Mixed Problem Solution Pertaining to Heat Conduction Theory Using Special Functions. ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations. 2009;(1):53-58. (In Russ.)

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ISSN 1029-7448 (Print)
ISSN 2414-0341 (Online)