Journal
NUMERICAL ALGORITHMS
Volume 83, Issue 4, Pages 1509-1530Publisher
SPRINGER
DOI: 10.1007/s11075-019-00734-6
Keywords
Initial value problem; Time-space fractional diffusion-wave equation; Landweber iterative regularization method; Error estimate
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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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