Вісник № 27
Постійне посилання колекціїhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/40740
Переглянути
2 результатів
Результати пошуку
Документ Numerical solution of first kind singular integral equation with Hilbert-type multiple integral(НТУ "ХПІ", 2018) Polyanskaya, Tatyana Semenovna; Naboka, Olena OleksiyivnaIn the paper a first kind singular integral equation containing a Hilbert-type double integral over the domain [0,2 π]×[0,2 π] is studied. The necessary conditions providing solvability of this equation are given. The equation studied is discretized under additional assumptions by the method of discrete singularities. The unique solvability of the discrete problem obtained is proved. The speed of convergence of the solution of the discrete problem to the exact solution of the initial singular integral equation is estimated.Документ Mathematical model of H-polarized wave radiation from longitudinal slots of a cylindrical antenna(НТУ "ХПІ", 2018) Girya, Nataliya Petrivna; Dukhopelnykov, Sergii VolodymyrovichIn the paper mathematical model is developed for straight perfectly conducting circular cylindrical antennas with the finite number of longitudinal slots, in the case of H-polarized wave. Boundary hyper-singular integral equations of boundary value problem for the Helmholtzequations are introduced in the case the boundary is the cylindrical surface with longitudinal slots. Using the boundary integral equation we construct the discrete mathematical model of the problem of electromagnetic waves radiation from the structure slots, also the numerical experiment is conducted. The near and far fields are plotted for different parametersof the structure.