Averaged semi-discrete scheme of sum-approximation for one nonlinear multi-dimensional integro-differential parabolic equation-Reference-Cited by-同舟云学术

Averaged semi-discrete scheme of sum-approximation for one nonlinear multi-dimensional integro-differential parabolic equation

Published:2020-09-01 Issue:3 Volume:27 Page:367-373
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Jangveladze Temur¹,Kiguradze Zurab²

Affiliation:

1. Ilia Vekua Institute of Applied Mathematics, Ivane Javakhishvili Tbilisi State University, 2 University Str., 0186; and Georgian Technical University, 77 Kostava Str., 0175Tbilisi, Georgia

2. Ilia Vekua Institute of Applied Mathematics, Ivane Javakhishvili Tbilisi State University, 2 University Str., 0186; Georgian Technical University, 77 Kostava Str., 0175Tbilisi, Georgia; and Electromagnetic Compatibility Laboratory, Missouri University of Science and Technology, 4000 Enterprise Drive 65409, Rolla, MO, USA

Abstract

AbstractThe paper is devoted to the construction and study of the additive averaged semi-discrete scheme for one nonlinear multi-dimensional integro-differential equation of parabolic type. The studied equation is based on the well-known Maxwell’s system arising in mathematical simulation of electromagnetic field penetration into a substance.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/27/3/article-p367.xml

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