The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose locations ...

In this video, we explore how to solve boundary value problems (BVPs) using the shooting method in Python. The shooting method transforms a BVP into an initial value problem, allowing us to use ...

Reaction-diffusion equations underpin the modelling of a vast array of natural and engineered phenomena, ranging from the spread of invasive species and epidemic outbreaks to phase transitions in ...