Numerical solution of the problem of recovering parameters for the limit model of an uninsulated vacuum plane diode

The model of a vacuum diode under the influence of a strong external magnetic field is considered. The uninsulated variant, when a part of electrons emitted from the cathode reaches the anode, is investigated. The model is described by a singular boundary value problem for a system of ordinary differential equations. The sensitivity of the problem solution to the change of input parameters is investigated. A coordinate descent method to restore parameters of the boundary value problem is implemented numerically.