Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation

DOI10.1002/num.22517OpenAlexW3083295756WikidataQ114235270 ScholiaQ114235270MaRDI QIDQ6088438

Yuan-Xiang Zhang, Yun Zhang, Ting Wei

Publication date: 14 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22517

zbMATH Keywords

uniquenesstime-fractional diffusion-wave equationinverse initial value problemiterative Tikhonov regularization method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace transform (44A10) Finite difference methods for boundary value problems involving PDEs (65N06) 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)

Related Items

Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation, Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems, Fractional Tikhonov regularization method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation

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