investigation the systems of the one nonlinear partial differencial aquations and approximate

The items that are represented in the following master's thesis are investigation the systems of nonlinear partial differencial equations, constructing the discrete analogs and finding the numerical solutions. More, precise there are discussed weighted diferentce schemes for the investigated system. Convergence of the weighted schemes for the concrete case of nonlinearity is proven. Local and global stability for the stationary solution of nonlinear diffiseve model is studied. The considered system of the differential equations is appeared in the electromagnetic field diffusion processes in the substance. The difficulty of the research is conditioned by nonlinearity and different rate of the equations contained the system.