Zhidong Zhang

activity

20162023

most citedRecovering an Unknown Source in a Fractional Diffusion Problem

53 citations · 214 across the 16 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.NA2017★ 53 cited

Recovering an Unknown Source in a Fractional Diffusion Problem

William Rundell, Zhidong Zhang

A standard inverse problem is to determine a source which is supported in an unknown domain $D$ from external boundary measurements. Here we consider the case of a time-dependent s…

math.AP2017★ 23 cited

An undetermined time-dependent coefficient in a fractional diffusion equation

Zhidong Zhang

In this work, we consider a FDE (fractional diffusion equation) $^{C} D_{t}^{α} u (x, t) - a (t) L u (x, t) = F (x, t)$ with a time-dependent diffusion coefficient $a (t)$ . For the direc…

math.AP2017★ 38 cited

Reconstruction of the Temporal Component in the Source Term of a (Time-Fractional) Diffusion Equation

Yikan Liu, Zhidong Zhang

In this article, we consider the reconstruction of $ρ (t)$ in the (time-fractional) diffusion equation $(\partial_{t}^{α} - △) u (x, t) = ρ (t) g (x)$ ( $0 < α \leq 1$ ) by the observation at a…