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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:349

Article

Siskova, K.¹  Slodicka, M.¹ 

[1] Univ Ghent, Dept Math Anal, Res Grp Numer Anal & Math Modeling NaM2, B-9000 Ghent, Belgium

关键词: Time-fractional wave equation;    Inverse source problem;    Boundary measurement;    Reconstruction;    Convergence;    Time discretization;   

DOI  :  10.1016/j.cam.2018.09.020

来源: Elsevier

【 摘 要 】

We deal with an inverse source problem in a time-fractional wave equation. The time dependent source term is reconstructed using the additional non-invasive measurement in the form of integral over a part of the boundary. We look for the solution and the source term obeying the variational formulation and the equation obtained from applying the measurement on the equation. Using the Rothe method the existence of the solution is proven. The uniqueness is shown in appropriate spaces and some numerical experiments are presented. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free