Abstract
We propose an algorithm for computing the electromagnetic field in a conducting ferromagnetic cylinder, characterized by the presence of only the axial component of the electric field intensity vector. The algebraization of the partial derivatives over the radius is carried out using a high-precision method of finite differences, and the numerical integration with respect to time is done on the basis of the implicit method.
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Literature Cited
R. V. Fil'ts and D. P. Grechin, “A grid method of computing three-dimensional electromagnetic fields in conducting nonlinear media,”Teoret. Elektrotekh., No. 36, 85–92 (1984).
L. O. Chua and Pen-Min-Lin,Machine Analysis of Electronic Schemata [in Russian], Energiya, Moscow (1980).
Additional information
Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 145–148.
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Fil'ts, R.V., Grechin, D.P. An algorithm for computing the one-dimensional electromagnetic field in a conducting ferromagnetic cylinder based on the method of finite differences. J Math Sci 86, 2646–2649 (1997). https://doi.org/10.1007/BF02356114
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DOI: https://doi.org/10.1007/BF02356114