01368nam a2200169 a 4500 20260901030409.0 250101s2020 xx o 000 0 eng d Yuxuan Gong Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift arXiv 2020 text online resource This paper is concerned with the inverse random source problem for a stochastic time fractional diffusion equation, where the source is assumed to be driven by a Gaussian random field. The direct problem is shown to be well-posed by examining the well-posedness and regularity of the solution for the equivalent stochastic two-point boundary value problem in the frequency domain. For the inverse problem, the Fourier modulus of the diffusion coefficient of the random source is proved to be uniquely determined by the variance of the Fourier transform of the boundary data. As a phase retrieval for the inverse problem, the PhaseLift method with random masks is applied to recover the diffusion coefficient from its Fourier modulus. Numerical experiments are reported to demonstrate the effectiveness of the proposed method. Open access — freely available to read. https://arxiv.org/pdf/2012.11042v1 Read the full paper (PDF) ERES 704 704 0 0 0 3 GEN MAIN MAIN SCICOMP 2026-09-01 0 YGE000965 2026-09-01 03:04:09 https://arxiv.org/pdf/2012.11042v1 2026-09-01 PAPER