Spectral method for solving the system of equations of Schrödinger—Klein—Gordon field

摘要

In this paper, we construct the conservative spectral scheme for the periodic initial-value problem for a system of equations of the complex Schrödinger field, interacting with the real Klein—Gordon field and estimate the error which is \xV;\GF;(nk) − ΦnN\xV; + \xV;χ(nk) − iXnn\xV;1 = O(k2 + N−(γ−1)).