The additive schemes (splitting schemes) are the basis for the construction of efficient computational algorithms for the approximate solution of initial boundary value problems for non-stationary partial differential equations. Usually, splitting schemes are developed for the additive representation of the basic operator of the problem. Also of interest are problems where the operator splits at the time derivative of the solution. We propose splitting schemes for first order evolution equations. These schemes are based on the transformation of the original equation into an equivalent system of equations.
