2012 Issue №10

Differences methods of the approximate solution of the two-dimensional equation of ions diffusion with the mixed derivatives and the first derivatives of a divergent look are considered. Test calculations on a modeling task with the known analytical decision are carried out. Operability of algorithm is shown and the estimation of speed of its convergence is given.

Compact presentations for solution of the generalized Padè problem are presented, that have been known only for the Padè problem (so called compact Nutall presentation). Using them determinant presentations for the approximants [M – 1 / M], [M / M] и [M / M – 1] were obtained.

An algorithm of numerical solving the inverse boundary value problem for the dynamical Lame system on the base of linearized presentations of kinetic and  potential energies is proposed. Results of numerical testing in 3D are presented.