Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8778Maxwell's Equations in Arbitrary Coordinate SystemKulyabovD S; Peoples' Friendship University of Russiadharma@mx.pfu.edu.ruKorolkovaA V; Peoples' Friendship University of Russiaakorolkova@sci.pfu.edu.ruKorolkovV I; Peoples' Friendship University of Russiavkorolkov@sci.pfu.edu.ruPeoples' Friendship University of Russia1501201219610608092016Copyright © 2012,2012The article is devoted to application of tensorial formalism for derivation of different types of Maxwell's equations. The Maxwell's equations are written in the covariant coordinate-free and the covariant coordinate forms. Also the relation between vectorial and tensorial formalisms and differential operators for arbitrary holonomic coordinate system in coordinate form is given. The results obtained by tensorial and vectorial formalisms are verified in cylindrical and spherical coordinate systems.Maxwell's equationstensorial formalismcovariant coordinate-free formcovariant coordinate formуравнения Максвеллатензорный формализмковариантная бескоординатная формаковариантная координатная форма