Difference methods an approximate solution of a three-dimensional equation of ions diffusion with mixed derivatives and divergence first derivatives are considered. The task is reduced to a chain of three two-dimensional parabolic equations on base of the summary approximation method. Difference operators are constructed, and an analysis of its properties,...
A mixed derivatives influence in during three-dimensional simulation of ionosphere by difference methods is considered.
Ишанов С. А., Клевцур С. В.
Математическое моделирование ионосферы с учетом ...
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....
... техн. Современ. пробл. Геометрии / ВИНИТИ. М., 1983. Т. 15. С. 61—93.
6. Do Carmo M. Differential forms and applications. Berlin, Heidelberg, 1994.
2nd order tangent bundle, horizontal, vertical and mixed curvatures and torsions, horizontal and vertical covariant derivatives.