Next Article in Journal
A Note on the Generalized Relativistic Diffusion Equation
Previous Article in Journal
Well-Posedness Results for the Continuum Spectrum Pulse Equation
Previous Article in Special Issue
A New Method for De-Noising of Well Test Pressure Data Base on Legendre Approximation
Open AccessArticle

The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations

Department of Applied Mathematics, School of Science, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1007; https://doi.org/10.3390/math7111007
Received: 26 September 2019 / Revised: 13 October 2019 / Accepted: 17 October 2019 / Published: 23 October 2019
(This article belongs to the Special Issue Numerical Analysis: Inverse Problems - Theory and Applications)
In the essay, we consider an initial value question for a mixed initial-boundary value of time-fractional diffusion-wave equations. This matter is an ill-posed problem; the solution relies discontinuously on the measured information. The truncation regularization technique is used for restoring the initial value functions. The convergence estimations are given in a priori regularization parameter choice regulations and a posteriori regularization parameter choice regulations. Numerical examples are given to demonstrate this is effective and practicable. View Full-Text
Keywords: time-fractional wave-diffusion equation; identify initial value; truncation regularization method; ill-posed problem time-fractional wave-diffusion equation; identify initial value; truncation regularization method; ill-posed problem
Show Figures

Figure 1

MDPI and ACS Style

Yang, F.; Pu, Q.; Li, X.-X.; Li, D.-G. The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations. Mathematics 2019, 7, 1007.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop