AN APPROXIMATE SOLUTION OF THE RADIATION DISPERSION PROBLEM                                    IN SMALL BODIES OF ARBITRARY SHAPE

Boykov Ilya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department of higher and applied mathematics, Penza State University, math@pnzgu.ru

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The article describes iterative methods to solve the following problems of electrostatics and electrodynamics: 1. Charge distribution on the surface of an ideal conducting body, situated in the external field; 2. Calculation of capacitance of ideal conducting bodies; 3. Approximate solution to a problem of radiation scattering on small bodies of random shape. Investigation of these problems is based on the general mathematical technique – approximate solution of weakly singular integral equations on a spectrum.

iterative methods, electrostatics problems, electrodynamics problems, weakly singular integral equations.