Bicompact scheme for linear inhomogeneous transport equation in a case of a big optical width

It have been considered bicompact Rogov schemes for solving linear inhomogeneous transport equation which is adequate for description of particle transport in media. New approach for energy dependence of distribution function on a base of Lebesque averaging methods leads to broadening of ranges in which absorption coefficient should be vary in comparison with the multigroup approach. New method of solution monotonization has been suggested for numerical solving problems containing regions with big optical widths. This method considerably improve accuracy of bicompact schemes in a case of solution nondifferentiability and tends it to the accuracy of conservative-characteristic schemes.