Reproducing kernel Hilbert space method for solutions of a coefficient inverse problem for the kinetic equation
Author(s) -
Esra Karataş Akgül
Publication year - 2018
Publication title -
an international journal of optimization and control theories and applications (ijocta)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2018.00568
Subject(s) - reproducing kernel hilbert space , kernel (algebra) , mathematics , hilbert space , representer theorem , inverse , inverse problem , mathematical analysis , kernel embedding of distributions , space (punctuation) , kernel method , pure mathematics , computer science , geometry , artificial intelligence , support vector machine , operating system
On the basis of a reproducing kernel Hilbert space, reproducing kernel functions for solving the coefficient inverse problem for the kinetic equation are given in this paper. Reproducing kernel functions found in the reproducing kernel Hilbert space imply that they can be considered for solving such inverse problems. We obtain approximate solutions by reproducing kernel functions. We show our results by a table. We prove the eciency of the reproducing kernel Hilbert space method for solutions of a coefficient inverse problem for the kinetic equation.
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