Method for solving the problem of a magnetohydrodynamic dynamo

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Dynamo Theory, Magnetohydrodynamics, Solar Magnetic Field, Elliptic Differential Equations, Finite Difference Theory, Numerical Integration, Parabolic Differential Equations, Poisson Equation

Scientific paper

A method for solving a system of differential equations describing the hydrodynamic generation of the periodic magnetic field of the sun is developed. The initial problem consists of solving the nonstationary internal problem for a system of two parabolic equations and the external problem for a system of elliptic equations. The external problem is expressed through the Poisson integral along the boundary of the function to be sought. A finite difference scheme is used to solve the system of equations which is obtained.

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