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

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 convergen...

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Veröffentlicht in:	Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-13
Hauptverfasser:	Liu, Songshu, Feng, Lixin
Format:	Artikel
Sprache:	eng
Schlagworte:	Estimates Heat Ill posed problems Inequality Inverse problems Laplace transforms Mathematical problems Partial differential equations Regularization Regularization methods Thermodynamics
Online-Zugang:	Volltext
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