Existence and Uniqueness Results for an Inverse Problem for Semilinear Parabolic Equations

被引：12

作者：

Sazaklioglu, Ali Ugur ^{[1
]}

Ashyralyev, Allaberen ^{[2
,3
,4
]}

Erdogan, Abdullah Said ^{[5
]}

机构：

[1] Univ Turkish Aeronaut Assoc, Dept Astronaut Engn, TR-06790 Ankara, Turkey

[2] Near East Univ, Dept Math, TRNC, TR-10 Nicosia, Mersin, Turkey

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[4] Peoples Friendship Univ Russia, Moscow 117198, Russia

[5] Kazakh British Tech Univ, Sigma LABS, ISE, Alma Ata 050000, Kazakhstan

来源：

FILOMAT | 2017年 / 31卷 / 04期

关键词：

semilinear parabolic equations; inverse problem; finite difference method; existence; uniqueness; RIGHT-HAND SIDE; IDENTIFICATION;

D O I：

10.2298/FIL1704057S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present study, unique solvability of an inverse problem governed by semilinear parabolic equations with an integral overdetermination is investigated. Furthermore, for the approximate solution of this problem a first order of accuracy difference scheme is constructed. Existence and uniqueness results for the solution of this difference scheme are established. Considering a particular example, some numerical results are discussed.

引用

页码：1057 / 1064

页数：8

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