Russian Physics Journal

, Volume 59, Issue 9, pp 1482–1490 | Cite as

Method for Solving Physical Problems Described by Linear Differential Equations


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.


current-carrying coil electromagnetic field linear equations in partial derivatives spherical harmonics near-field magnetic communication 


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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 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 SciencesKrasnoyarskRussia
  2. 2.Siberian Federal UniversityKrasnoyarskRussia
  3. 3.Siberian State Aerospace UniversityKrasnoyarskRussia

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