Error Estimate of the Nonstationary Galerkin Method for a Higher Order Equation with Changing Time Direction

摘要

In 1998 I.E.Egorov, using the nonstationary Galerkin method and regularization method, proved the existence and uniqueness of a regular solution to the boundary value problem for a higher order equation with changing time direction. In this paper an error estimate for the approximate solutions of this problem is obtained, and expressed in terms of the regularization parameter and the eigenvalues of the spectral problem for higher order elliptic equation.