Unique Solvability and Decomposition Method for One Nonlinear Multi-Dimensional Integro-Differential Parabolic Equation
Year: 2020
Author: Temur Jangveladze, Zurab Kiguradze
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-18352
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 6 : pp. 806–819
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Additive averaged semi-discrete scheme nonlinear integro-differential multi-dimensional equation unique solvability.