Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053971 | Applied Mathematics Letters | 2018 | 9 Pages |
Abstract
An inverse source problem for the recovery of an unknown space-time dependent source term of a time-fractional Burgers equation is solved in the paper. By using the prescribed boundary data, a sequence of boundary functions is derived, which together with the zero element constitute a linear space. An energy boundary functional equation is derived in the linear space, of which the time-dependent energy is preserved for each energy boundary function. The iterative algorithm used to recover the unknown source with energy boundary functions as the bases is developed, which is robust and convergent fast.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Chein-Shan Liu, Jiang-Ren Chang,