E.V. Golovacheva, E.I. Gribnikova, A.M. Lerer, E.M. Panchenko, N.G. Parkhomenko

The effective method of regularization is worked out for the decision of integral equation with a bisingular kernel. Distinguished and the special part of integral equation is analytically regenerate. To regenerate integral equation the method of collocation is applied. The worked out method is used for the decision of row of regional problem of two-dimensional electrodynamics, the decision of which is taken to the decision of integro-differential equation. Results over of decision of problem of diffraction of electromagnetic impulse are brought. Rapid speed of internal convergence is shown for the problem of diffraction of both monochromatic wave and short and supershort impulses. Thus the order of system linear algebraic equation does not exceed 10-50. The conducted researches allow to assert that the offered method of regularisation at a decision, are high-efficiency at researches of processes of diffraction of electromagnetic impulse including supershort.