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 - <p style="text-align: justify;">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.</p>