Approximate solution of the backward problem for Kirchhoff s model of Parabolic type with discrete random noise

摘要

In this paper, we consider the final boundary value problem for non-local Kirchhoff's model of parabolic type with discrete random noise. We first discuss the instability of solutions. Then we present the regularized solution by the trigonometric method in non-parametric regression associated with the truncated expansion method. In addition, under a prior assumption on the exact solution, the convergence rate is obtained. In the last section, the effectiveness and suitability of our results are justified via numerical experiments. (C) 2020 Elsevier Ltd. All rights reserved.