@Article{IJNAM-17-6, author = {Temur, Jangveladze and Zurab, Kiguradze}, title = {Unique Solvability and Decomposition Method for One Nonlinear Multi-Dimensional Integro-Differential Parabolic Equation}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2020}, volume = {17}, number = {6}, pages = {806--819}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/2020-IJNAM-18352}, url = {https://global-sci.com/article/83044/unique-solvability-and-decomposition-method-for-one-nonlinear-multi-dimensional-integro-differential-parabolic-equation} }