Long-time behavior of solution and semi-discrete scheme for one nonlinear parabolic integro-differential equation

Long-time behavior of solution and semi-discrete scheme for one nonlinear parabolic integro-differential equation are studied. Initial–boundary value problem with mixed boundary conditions are considered. Attention is paid to the investigation of more wide cases of nonlinearity than already were studied. Considered model is based on Maxwell’s system describing the process of the penetration of a magnetic field into a substance.