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Constructing approximate Green’s function for a vector equation for the electric field using the variational iteration method. (English) Zbl 1189.35323

Summary: We use He’s variational iteration method (VIM) to find approximate Green’s functions for a vector equation for the electric field with anisotropic dielectric permittivity and magnetic permeability. We present numerical examples which show that an approximate solution of an initial value problem (IVP) for a vector equation can be obtained by using these approximate Green’s functions.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
35A08 Fundamental solutions to PDEs
78A25 Electromagnetic theory (general)
78M30 Variational methods applied to problems in optics and electromagnetic theory
35A35 Theoretical approximation in context of PDEs
78M25 Numerical methods in optics (MSC2010)
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