Splitting Schemes with Additive Representation of the Operator at the Time Derivative

Abstract

Additive (splitting) schemes are used to contruct effective computational algorithms for approximately solving initial-boundary value problems for nonstationary partial differential equations. Splitting schemes are normally used when the main operator of a problem has an additive representation. Problems where the operator at the time derivative of a solution is split are also of interest. For first-order evolution equations, we propose splitting schemes based on transforming the original equation to an equivalent system of equations.