Finite difference scheme for one nonlinear parabolic integro-differential equation

被引：0
|
作者：
Jangveladze, Temur
Kiguradze, Zurab [1 ]
机构：
[1] Tbilisi State Univ, Ilia Vekua Inst Appl Math Ivane Javakhishvili, 2 Univ St, GE-0186 Tbilisi, Georgia
来源：
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2016年 / 170卷 / 03期
关键词：
Nonlinear parabolic integro-differential equation; Initial-boundary value problem; Mixed boundary conditions; Finite difference scheme; Convergence;
D O I：
10.1016/j.trmi.2016.09.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Initial-boundary value problem with mixed boundary conditions for one nonlinear parabolic integro-differential equation is considered. The model is based on Maxwell system describing the process of the penetration of a electromagnetic field into a substance. Unique solvability and asymptotic behavior of solution are fixed. Main attention is paid to the convergence of the finite difference scheme. More wide cases of nonlinearity that already were studied are investigated. (C) 2016 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.
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页码：395 / 401
页数：7
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