Abstract
In this paper, an inverse problem to identify the initial value for high dimension time fractional diffusion equation on spherically symmetric domain is considered. This problem is ill-posed in the sense of Hadamard, so the quasi-boundary regularization method is proposed to solve the problem. The convergence estimates between the regularization solution and the exact solution are presented under the a priori and a posteriori regularization parameter choice rules. Numerical examples are provided to show the effectiveness and stability of the proposed method.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11561045
Award Identifier / Grant number: 11501272
Funding statement: The project is supported by the National Natural Science Foundation of China (No. 11561045, No. 11501272), and the Doctor Fund of Lan Zhou University of Technology.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
- Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state
- Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity
- Learning solutions to the source inverse problem of wave equations using LS-SVM
- Solvability of interior transmission problem for the diffusion equation by constructing its Green function
- Comparing a distributed parameter model-based system identification technique with more conventional methods for inverse problems
- On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law
- Prescribing a heat flux coming from a wave equation
- Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation
Articles in the same Issue
- Frontmatter
- A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
- Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state
- Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity
- Learning solutions to the source inverse problem of wave equations using LS-SVM
- Solvability of interior transmission problem for the diffusion equation by constructing its Green function
- Comparing a distributed parameter model-based system identification technique with more conventional methods for inverse problems
- On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law
- Prescribing a heat flux coming from a wave equation
- Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation