TY - JOUR T1 - Unique Solvability and Decomposition Method for One Nonlinear Multi-Dimensional Integro-Differential Parabolic Equation AU - Jangveladze , Temur AU - Kiguradze , Zurab JO - International Journal of Numerical Analysis and Modeling VL - 6 SP - 806 EP - 819 PY - 2020 DA - 2020/10 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/18352.html KW - Additive averaged semi-discrete scheme, nonlinear integro-differential multi-dimensional equation, unique solvability. AB -

The paper is devoted to the construction and study of the decomposition type semi-discrete scheme for one nonlinear multi-dimensional integro-differential equation of parabolic type. Unique solvability of the first type initial-boundary value problem is given as well. The studied equation is some generalization of integro-differential model, which is based on the well-known Maxwell system arising in mathematical simulation of electromagnetic field penetration into a medium.