A fractional-order quasi-reversibility method to a backward problem for the time fractional diffusion equation

DOI10.1016/j.cam.2021.113552zbMath1475.65111OpenAlexW3135943599MaRDI QIDQ2029426

Wanxia Shi, Xuemin Xue, Xiang-Tuan Xiong

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113552

zbMATH Keywords

diffusion processbackward problemquasi-reversibility methodtime-fractional derivativeregularity and convergence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Perturbations in context of PDEs (35B20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (4)

Quasi-boundary method for a fractional ill-posed problem ⋮ A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation ⋮ The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation ⋮ A fractional-order quasi-reversibility method to a backward problem for the multi-term time-fractional diffusion equation

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