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26-06-2019 | Original Paper | Issue 4/2020

Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation

Journal:: Numerical Algorithms > Issue 4/2020

Authors:: Fan Yang, Yan Zhang, Xiao-Xiao Li

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Abstract

This paper considers the inverse problem for identifying the initial value problem of a space-time fractional diffusion wave equation. In general, this problem is ill-posed and the Landweber iterative regularization method is used to solve this problem. The error estimates between the exact solution and the regularized solution are given under the a priori parameter choice rule and the a posteriori parameter choice rule, respectively. In order to verify the validity and stability of the used method, numerical examples of two different dimensional cases with experimental data are performed.

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Title: Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
Authors:: Fan Yang
Yan Zhang
Xiao-Xiao Li
Publication date: 26-06-2019
DOI: https://doi.org/10.1007/s11075-019-00734-6
Publisher: Springer US
Journal: Numerical Algorithms
Issue 4/2020
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265

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