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).
Cebers, A., & Kalis, H. (2012). Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field. Mathematical Modelling and Analysis, 17(1), 47-57. https://doi.org/10.3846/13926292.2012.644637
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