A numerical scheme for solving 1D equations of electron and photon transport at ultrahigh energies is proposed. The tests performed using the known EGS4 and GEANT4 codes showed that the errors of calculations do not exceed several percent and are considerably smaller than those given by the cascade theory in the A approximation. The scheme can be used for obtaining solutions to different problems of the physics of cosmic rays and ultrahigh energy neutrino astronomy.
$^1$Department of General Physics, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119991, Russia
$^2$Institute of Nuclear Physics, Moscow State University, Leninskie gory, Moscow, 119991, Russia
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