Acta Mathematica Vietnamica
The Backward Problem for a Nonlinear Riesz-Feller Diffusion Equation
Dinh Nguyen Duy Hai
,
Dang Duc Trong
Abstract
In this paper, we reconstruct the solution
This problem is severely ill-posed in the Hadamard sense, hence, a regularization is in order. In the paper, we introduce one spectral regularization method and establish stability error estimates with optimal order under an a priori choice of regularization parameter. Finally, numerical implementations are given to show the effectiveness of the proposed regularization methods.