TIME-STEP METHOD OF LAPLACE TRANSFORMATION INVERSION BASED ON THE RUNGE − KUTTA SCHEME NODES

Abstract

The problem of constructing time-step methods for numeric inversion of Laplace transformation, based on the original function integration theorem, is considered. Time steps choice is implemented by means of Runge − Kutta scheme for ordinary differential equations Cauchy problem, Runge−Kutta schemes being referenced to as coefficients from Butcher tableaux.

Keywords: Laplace transformation inversion, time-step method, Runge − Kutta schemes.