Mathematical Modelling of an Elongated Magnetic Droplet in a Rotating Magnetic Field

Abstract

Dynamics of an elongated droplet under the action of a rotating magnetic field is considered by mathematical modelling. The actual shape of a droplet is obtained by solving the initial-boundary value problem of a nonlinear singularly perturbed partial differential equation (PDE). For the discretization in space the finite difference scheme (FDS) is applied. Time evolution of numerical solutions is obtained with MATLAB by solving a large system of ordinary differential equations (ODE).

Keywords:

• magnetic field
• ill posed problem
• finite differences

AMS Subject Classification::

• 65M06
• 65M20
• 65M70
• 65N06
• 65F22