Identification of a source in a fractional wave equation from a boundary measurement

DOI10.1016/j.cam.2018.09.020OpenAlexW2893033991MaRDI QIDQ1713099

Marián Slodička, Katarína Šišková

Publication date: 24 January 2019

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.2018.09.020

zbMATH Keywords

convergencereconstructioninverse source problemtime discretizationboundary measurementtime-fractional wave equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items

Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain, Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation, A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation, An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation, Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation, The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder

Uses Software

• FEniCS

Cites Work

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