2 papers
math.AP2025
The radiative transport equation with waiting time and its diffusion approximation with a time-fractional derivative
Manabu Machida
Albeit the past intensive research, the governing equation of anomalous diffusion which is observed for the transport of particles underground is still an open problem. In this pap…
physics.med-ph2024
Diffuse optical tomography in time domain with the inverse Rytov series
Chi Zhang, Manabu Machida
The Rytov approximation has been commonly used to obtain reconstructed images for optical tomography. However, the method requires linearization of the nonlinear inverse problem. H…