MMN-2558
Uniqueness of solution and fully discrete scheme to nonlinear integro-differential averaged model with source terms
T. Jangveladze; Z. Kiguradze; M. Kratsashvili;Abstract
Uniqueness of solution and finite difference scheme of corresponding initial-boundary value problem for one nonlinear partial integro-differential averaged model with source terms are studied. Mentioned model is based on Maxwell system which describes electromagnetic field penetration into a substance. Mixed boundary condition is considered. Large time behavior of solution is fixed too. Convergence of the fully discrete scheme is proved. Wider class of nonlinearity is studied than one has been investigated before.
Vol. 19 (2018), No. 2, pp. 907-921