Polynomial Solutions of Electric Field Equations in Anisotropic Media

Authors : Meltem Altunkaynak

Pages : 77-87

Doi:10.51354/mjen.1274359

View : 36 | Download : 52

Publication Date : 2024-06-21

Article Type : Research Paper

Abstract :The time-dependent system of partial differential equations of the second order describing the electric wave propagation in electrically and magnetically anisotropic homogeneous media is considered in the paper. A method for the computation of the polynomial solutions of the initial value problem for the considered system is proposed. Symbolic computations are used and these symbolic computations are implemented in Maple. It is proved also that these polynomial solutions are approximate solutions of the considered initial value problem with smooth initial data and the inhomogeneous term. The computational experiments confirm the robustness of the suggested method for the computation of electric fields in general electrically and magnetically anisotropic media.
Keywords : The timedependent electric field equations, electromagnetic radiation, analytical method, symbolic computations, anisotropic media