Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements

In this work, we study the final value problem for a system of parabolic diffusion equations. In which, the final value functions are derived from a random model. This problem is severely ill‐posed in the sense of Hadamard. By nonparametric estimation and truncation methods, we offer a new regulariz...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2021-04, Vol.44 (6), p.5188-5209
Hauptverfasser:	Triet, Nguyen Anh, Binh, Tran Thanh, Phuong, Nguyen Duc, Baleanu, Dumitru, Can, Nguyen Huu
Format:	Artikel
Sprache:	eng
Schlagworte:	Error analysis Ill‐posed problem Nonlocal diffusion Random noise Regularized solution
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