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Method for Solving Physical Problems Described by Linear Differential Equations

  • PHYSICS OF MAGNETIC PHENOMENA
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Russian Physics Journal Aims and scope

A method for solving physical problems is suggested in which the general solution of a differential equation in partial derivatives is written in the form of decomposition in spherical harmonics with indefinite coefficients. Values of these coefficients are determined from a comparison of the decomposition with a solution obtained for any simplest particular case of the examined problem. The efficiency of the method is demonstrated on an example of calculation of electromagnetic fields generated by a current-carrying circular wire. The formulas obtained can be used to analyze paths in the near-field magnetic (magnetically inductive) communication systems working in moderately conductive media, for example, in sea water.

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Authors and Affiliations

  1. L. V. Kirensky Institute of Physics of the Federal Research Center of Krasnoyarsk Scientific Center of the Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia

    B. A. Belyaev & V. V. Tyurnev

  2. Siberian Federal University, Krasnoyarsk, Russia

    B. A. Belyaev & V. V. Tyurnev

  3. Siberian State Aerospace University, Krasnoyarsk, Russia

    B. A. Belyaev

Authors
  1. B. A. Belyaev
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  2. V. V. Tyurnev
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Correspondence to B. A. Belyaev.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 140–146, September, 2016.

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Belyaev, B.A., Tyurnev, V.V. Method for Solving Physical Problems Described by Linear Differential Equations. Russ Phys J 59, 1482–1490 (2017). https://doi.org/10.1007/s11182-017-0934-9

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  • DOI: https://doi.org/10.1007/s11182-017-0934-9

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