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- Title
Landweber Iterative Method for an Inverse Source Problem of Time-Space Fractional Diffusion-Wave Equation.
- Authors
Yang, Fan; Zhang, Yan; Li, Xiao-Xiao
- Abstract
In this paper, we apply a Landweber iterative regularization method to determine a space-dependent source for a time-space fractional diffusion-wave equation from the final measurement. In general, this problem is ill-posed, and a Landweber iterative regularization method is used to obtain the regularization solution. Under the a priori parameter choice rule and the a posteriori parameter choice rule, we give the error estimates between the regularization solution and the exact solution, respectively. Some numerical results in the one-dimensional and two-dimensional cases show the utility of the used regularization method.
- Subjects
INVERSE problems; RIESZ spaces; EQUATIONS; WAVE equation
- Publication
Computational Methods in Applied Mathematics, 2024, Vol 24, Issue 1, p265
- ISSN
1609-4840
- Publication type
Article
- DOI
10.1515/cmam-2022-0240