Urizarna Carasa, JulioJulioUrizarna CarasaRuprecht, DanielDanielRuprechtKameke, Alexandra vonAlexandra vonKamekePadberg-Gehle, KathrinKathrinPadberg-Gehle2023-04-042023-04-042023-03-24Proceedings in applied mathematics and mechanics 22 (1): e202200242 (2023-03-24)http://hdl.handle.net/11420/15119The Maxey-Riley equation (MRE) models the motion of a finite-sized, spherical particle in a fluid. It is a second-order integro-differential equation with a kernel with a singularity at initial time. Because solving the integral term is numerically challenging, it is often neglected despite its often non-negligible impact. Recently, Prasath et al. showed that the MRE can be rewritten as a time-dependent heat equation on a semi-infinite domain with a nonlinear, Robin-type boundary condition. This approach avoids the need to deal with the integral term. They also describe a numerical approach for solving the transformed MRE based on Fokas method. We provide a Python toolbox implementing their approach, verify it against some of their numerical examples and demonstrate its flexibility by computing the trajectory of a particle in a velocity field given by experimental data.en1617-706120231Wiley-VCHhttps://creativecommons.org/licenses/by-nc/4.0/TechnikIngenieurwissenschaftenConference Paper10.15480/882.504310.1002/pamm.20220024210.15480/882.5043Other