An Inverse Problem for a Two-Dimensional Time-Fractional Sideways Heat Equation

Songshu Liu and Lixin Feng

Mathematical Problems in Engineering, 2020, vol. 2020, 1-13

Abstract:

In this paper, we consider a two-dimensional (2D) time-fractional inverse diffusion problem which is severely ill-posed; i.e., the solution (if it exists) does not depend continuously on the data. A modified kernel method is presented for approximating the solution of this problem, and the convergence estimates are obtained based on both a priori choice and a posteriori choice of regularization parameters. The numerical examples illustrate the behavior of the proposed method.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5865971

DOI: 10.1155/2020/5865971

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