Inverse Coefficient Problem for a Second-Order Elliptic Equation With Nonlocal Boundary Conditions
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Date
2016
Authors
Kanca, Fatma
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Open Access Color
Green Open Access
Yes
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Publicly Funded
No
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Abstract
In this research article the inverse problem of finding a time-dependent coefficient in a second-order elliptic equation is investigated. The existence and the uniqueness of the classical solution of the problem under consideration are established. Numerical tests using the finite-difference scheme combined with an iteration method are presented and the sensitivity of this scheme with respect to noisy over determination data is illustrated. Copyright (C) 2015 John Wiley & Sons Ltd.
Description
Keywords
Elliptic Equation, Inverse Coefficient Problem, Nonlocal Boundary Conditions, Integral Overdetermination Condition, Inverse Coefficient Problem, Elliptic Equation, Integral Overdetermination Condition, Nonlocal Boundary Conditions, nonlocal boundary conditions, Inverse problems for PDEs, Boundary value problems for second-order elliptic equations, Numerical methods for inverse problems for boundary value problems involving PDEs, elliptic equation, integral overdetermination condition, inverse coefficient problem
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
2
Source
Mathematical Methods in the Applied Sciences
Volume
39
Issue
11
Start Page
3152
End Page
3158
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CrossRef : 2
Scopus : 3
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