A filter method for inverse nonlinear sideways heat equation

Abstract In this paper, we study a sideways heat equation with a nonlinear source in a bounded domain, in which the Cauchy data at x = X $x = \mathcal {X}$ are given and the solution in 0 ≤ x < X $0 \le x < \mathcal {X}$ is sought. The problem is severely ill-posed in the sense of Hadamard. Ba...

Full description

Bibliographic Details
Main Authors: Nguyen Anh Triet, Donal O’Regan, Dumitru Baleanu, Nguyen Hoang Luc, Nguyen Can
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02601-4