Determination of an Unknown Heat Source from Integral Overdetermination Condition
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Date
2018
Authors
Baglan, İrem Sakınç
Kanca, Fatma
Mishra, Vishnu Narayan
Journal Title
Journal ISSN
Volume Title
Publisher
Springer International Publishing
Abstract
In this research we consider a coefficient problem of an inverse problem of a quasilinear parabolic equation with periodic boundary and integral over determination conditions. We prove the existence uniqueness and continuously dependence upon the data of the solution by iteration method. Also we consider numerical solution for this inverse problem using linearization and finite difference method is proved.
Description
Keywords
Quasilinear parabolic equation, Inverse problem, Periodic boundary condition, Finite difference method, Integral overdetermination condition
Turkish CoHE Thesis Center URL
Citation
5
WoS Q
N/A
Scopus Q
Q2
Source
Volume
42
Issue
A3
Start Page
1373
End Page
1382