Journal
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
Volume 9, Issue 2, Pages 330-354Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/eajam.250518.170119
Keywords
Inverse source problem; fractional diffusion-wave equation; conjugate gradient method
Categories
Funding
- NSF of China [11371181, 11771192, 11601216]
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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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