Regularization of backward time-space-fractional parabolic equations by quasi-reversibility method

Computers & Mathematics with Applications 2026 Open access

Read full text
Authors: Nguyen Van Thang, Nguyen Van Duc, Thi-Phong Nguyen
DOI: 10.1016/j.camwa.2026.02.006
Cited by: 2
References: 18

Abstract

This paper investigates the quasi-reversibility, a regularization method for backward time-space-fractional parabolic equations. Error estimates of Hölder type are obtained with a priori and a posteriori regularization parameter choice rules. The proposed regularization method results in a stable noniterative numerical scheme. The theoretical error estimates are confirmed with numerical tests for one and two-dimensional equations.

Fields of Study & Subjects

Fractional Differential Equations Solutions Numerical methods in inverse problems Differential Equations and Boundary Problems

Publication details

Journal / source
Computers & Mathematics with Applications
Publisher
Elsevier BV
Volume
209
Pages
71–90
Publication date
17 February 2026
Language
EN