Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 330–354
Abstract
An inverse time-dependent source problem for a multi-dimensional fractional diffusion wave equation is considered. The regularity of the weak solution for the direct problem under strong conditions is studied and the unique solvability of the inverse problem is proved. The regularised variational problem is solved by the conjugate gradient method combined with Morozov's discrepancy principle. Numerical examples show the stability and efficiency of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.250518.170119
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 330–354
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Inverse source problem fractional diffusion-wave equation conjugate gradient method.
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