Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation

DOI10.1007/s12190-021-01656-0OpenAlexW3211557248MaRDI QIDQ2089257

Jin Wen, Shi-Juan Wang, Chong-Wang Yue, Zhuan-Xia Liu

Publication date: 6 October 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01656-0

zbMATH Keywords

conditional stabilityLandweber iterationtime-fractional diffusion equationa priori and a posteriori parameter choice rulessimultaneous inversion

Mathematics Subject Classification ID

Simultaneous approximation (41A28) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fractional partial differential equations (35R11) Numerical analysis (65-XX)

Related Items

Uniqueness for inverse source problems for fractional diffusion-wave equations by data during not acting time, On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation, A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation, Fractional Tikhonov regularization method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation, Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation

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