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Numerical Algorithms
Erschienen in: Numerical Algorithms 4/2020

26.06.2019 | Original Paper

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

verfasst von: Fan Yang, Yan Zhang, Xiao-Xiao Li

Erschienen in: Numerical Algorithms | Ausgabe 4/2020

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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.
Vorheriger Artikel Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems
Nächster Artikel Stationary distribution of the stochastic theta method for nonlinear stochastic differential equations

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Metadaten
Titel
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
verfasst von
Fan Yang
Yan Zhang
Xiao-Xiao Li
Publikationsdatum
26.06.2019
Verlag
Springer US
Erschienen in
Numerical Algorithms / Ausgabe 4/2020
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-019-00734-6

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