6533b851fe1ef96bd12a906d

RESEARCH PRODUCT

Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field

Andrejs CebersHarijs Kalis

subject

Rotating magnetic fieldPartial differential equationDiscretizationfinite differencesMathematical analysisFinite differencemagnetic fieldAction (physics)Magnetic fieldNonlinear systemModeling and SimulationOrdinary differential equationQA1-939AnalysisMathematicsill posed problemMathematics

description

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).

yearjournalcountryeditionlanguage
2012-02-01Mathematical Modelling and Analysis
10.3846/13926292.2012.644637http://journals.vgtu.lt/index.php/MMA/article/view/4821