A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
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.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- 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
Artikel in diesem Heft
- 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