Temur Jangveladze, Maia Kratsashvili
abstract:
Linear stability and Hoph bifurcation of a solution of the initial-boundary
value problem as well as the finite difference scheme for one system of
nonlinear partial differential equations are investigated. The blow up case is
fixed. The mentioned system is based on the Maxwell equations which describe the
process of electromagnetic field penetration into a substance. Numerous computer
experiments are carried out and relying on the obtained results, some graphical
illustrations are presented.
Mathematics Subject Classification: 35B40, 35B32, 65M06
Key words and phrases: System of nonlinear partial differential equations, linear stability, Hoph bifurcation, blow up solution, finite difference scheme