RECOVERING A SPACE-DEPENDENT SOURCE TERM IN A TIME-FRACTIONAL DIFFUSION WAVE EQUATION

DOI10.11948/20180318zbMath1468.65129OpenAlexW3010453105MaRDI QIDQ5859426

Ting Wei, Xiong-bin Yan

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20180318

zbMATH Keywords

conjugate gradient algorithmTikhonov regularizationinverse source problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Regularization by noise (60H50)

Related Items (5)

Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method ⋮ Identifying a fractional order and a time-dependent coefficient in a time-fractional diffusion wave equation ⋮ An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation ⋮ Uniqueness for identifying a space-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation from a single boundary point measurement ⋮ Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition

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