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Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
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Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
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Journal Article
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
2020
Overview
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.
Publisher
Springer Nature B.V
