Zurab Kiguradze, Besik Tabatadze
abstract:
In the paper, for the construction of a numerical solution of two-dimensional
Mitchison nonlinear partial differential system, the variable directions
difference scheme and the difference scheme corresponding to the average method
are used. Practical realization of those algorithms and comparative analysis of
the obtained results are carried out. Numerical experiments are in accordance
with theoretical findings. On the basis of experiments the corresponding tables
of data are given.
Mathematics Subject Classification: 35Q80, 35Q92, 65N06, 65Y99
Key words and phrases: Nonlinear partial differential equations, numerical methods, economic algorithms, finite difference scheme, variable directions method, average method