Identification Problem of a Leading Coefficient to the Time Derivative of Parabolic Equation with Nonlocal Boundary Conditions

被引：2

作者：

Kanca, Fatma ^{[1
]}

Mishra, Vishnu Narayan ^{[2
]}

机构：

[1] Fenerbahce Univ, Dept Ind & Syst Engn, Istanbul, Turkey

[2] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, Madhya Pradesh, India

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2019年 / 43卷 / A3期

关键词：

Inverse heat problem; Nonlocal boundary condition; Finite difference method; Integral additional condition;

D O I：

10.1007/s40995-018-0587-8

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, the problem of determining the time-dependent leading coefficient to the time derivative of heat equation with nonlocal boundary and integral addition conditions is considered. The existence and uniqueness of a solution of the inverse problem under considerations are established. Some results on the numerical solution with an example are presented.

引用

页码：1227 / 1233

页数：7

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