Analysis for the general term of a Cauchy product of two series of the truncation error of restrictive approximations

Abstract EN

This paper contains an advanced analytical proof that the zero-truncation error is in the general term of the Cauchy product of two series of the truncation error for some restrictive approximations for IBVP for parabolic and hyperbolic equations.

In this paper, it had been proved that the general term of the power series of space and time lengths in the differential form of the truncation error is exactly zero.