SOLVABILITY OF NONLOCAL PARABOLIC PROBLEM WITH NUMERICAL SOLUTION

被引：0

作者：

Taki-Eddine, Oussaeif ^{[1
]}

Zainouba, Chebana ^{[1
]}

Sofiane, Dehilis ^{[1
]}

Adel, Ouannas ^{[1
]}

机构：

[1] Dynam & Control Syst Lab, Dept Math & Informat, Oum El Bouaghi, Algeria

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2023年 / 18卷 / 01期

关键词：

Parabolic equation; integral condition; existence; uniqueness; Fadeo-Galarkin method;

D O I：

10.21915/BIMAS.2023103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of linear nonlocal problems Dirichlet condition and Neumann condition modeling integration condition a second class of a class of linear reaction-diffusion equations. We show the existence and uniqueness of weak solutions to problems Fadeo-Galarkin method developed to circumvent the resulting complexities due to the existence of integration conditions. We also seek numerical solutions using finite difference techniques.

引用

页码：41 / 60

页数：20

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