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
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Volume Title
Publisher
Springer International Publishing
Open Access Color
Green Open Access
No
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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, Quasilinear parabolic equation, Inverse problem, Finite difference method, Periodic boundary condition, Integral overdetermination condition, quasilinear parabolic equation, Heat equation, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, Initial-boundary value problems for second-order parabolic equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, integral overdetermination condition, inverse problem, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian, finite difference method, periodic boundary condition
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
8
Source
Iranian Journal of Science and Technology, Transactions A: Science
Volume
42
Issue
A3
Start Page
1373
End Page
1382
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