Numerical approximate controllability for unidimensional parabolic integro-differential equations

被引：0

作者：

Zhao, Hengzhi ^{[1
]}

Zhang, Jiwei ^{[2
]}

Lu, Jing ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China

[2] Northeast Normal Univ, Fac Educ, Changchun 130024, Jilin, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2023年 / 204卷

关键词：

Approximately controllable; Conjugate gradient method; Full discrete error estimation; Numerical simulation; Parabolic integro-differential equation; FINITE-ELEMENT METHODS; HEAT-EQUATION; NULL CONTROLLABILITY; INTEGRAL-EQUATIONS; SYSTEMS; ORDER;

D O I：

10.1016/j.matcom.2022.09.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper discusses numerical solutions for the control functions of parabolic integro-differential equations under the assumption of approximate controllability. It is proved theoretically that the numerical solution for the control function converges to the exact solution, and the validity of the theory is demonstrated from different perspectives through four numerical simulation examples. (c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：575 / 596

页数：22

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