IDENTIFYING THE SOURCE TERM IN A SOBOLEV-TYPE EQUATION BY OPTIMIZATION METHOD

被引：0

作者：

Soudani, Abdelkadir ^{[1
]}

Saoudi, Khaled ^{[1
]}

Chattouh, Abdeldjalil ^{[1
]}

Menasri, Abdellah ^{[2
]}

机构：

[1] Khenchela Univ, Dept Math & Informat, ICOSI Lab, Coll Sci & Technol, Khenchela 40004, Algeria

[2] Higher Natl Sch Forests, Khenchela, Algeria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 14卷 / 01期

关键词：

Inverse problem; Source term; Pseudoparabolic equation; Optimal control; PSEUDOPARABOLIC EQUATION; INVERSE PROBLEM; COEFFICIENT; FILTRATION;

D O I：

10.54379/JMA-2023-1-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of an inverse problem of recovering a space-dependant source term in a Sobolev-type equation from final measurement data. The aim of this work is twofold, first, to establish some results concerning the stability and local uniqueness of the solution which is done using the optimal control framework, and second, to design an efficient algorithm based on the Landweber iteration method for the numerical identification of the unknown source term. Some typical numerical experiments are performed to verify the effectiveness and validity of the proposed algorithm.

引用

页码：1 / 17

页数：17

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