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Citation - WoS: 2
Citation - Scopus: 3
Identification Problem of a Leading Coefficient To the Time Derivative of Parabolic Equation With Nonlocal Boundary Conditions
(Springer international Publishing Ag, 2019) Kanca, Fatma; Mishra, Vishnu Narayan
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.
Citation - WoS: 3
Citation - Scopus: 4
Inverse Problem for Euler-Bernoulli Equation With Periodic Boundary Condition
(Univ Nis, Fac Sci Math, 2018) Kanca, Fatma; Baglan, Irem
In this work the inverse coefficient problem for Euler-Bernoulli equation with periodic boundary and integral addition conditions is investigated. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown by using the generalized Fourier method. Numerical tests using the implicit finite difference scheme combined with an iterative method are presented and discussed. Also an example is presented with figures.

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