Zhi-Xue Zhao, Mapundi Kondwani Banda, Bao-Zhu Guo
Published 2016-05-17Version 1
In this paper, the simultaneous identification of damping or anti-damping coefficient and initial value for some PDEs is considered. An identification algorithm is proposed based on the fact that the output of system happens to be decomposed into a product of an exponential function and a periodic function. The former contains information of the damping coefficient, while the latter does not. The convergence and error analysis are also developed. Three examples, namely an anti-stable wave equation with boundary anti-damping, the Schr\"odinger equation with internal anti-damping, and two connected strings with middle joint anti-damping, are investigated and demonstrated by numerical simulations to show the effectiveness of the proposed algorithm.
Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement
Simultaneous determination of initial value and source term for time-fractional wave-diffusion equations
Corrigendum: Recover the source and initial value simultaneously in a parabolic equation
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