Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions

Ebru Ozbilge, Fatma Kanca and Emre Özbilge
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Ebru Ozbilge: Department of Mathematics & Statistics, American University of the Middle East, Egaila 54200, Kuwait
Fatma Kanca: Faculty of Engineering and Architecture, Fenerbahçe University, Istanbul 34758, Turkey
Emre Özbilge: Department of Computer Engineering, Faculty of Engineering, Cyprus International University, North Cyprus, Mersin 10, Nicosia 99258, Turkey

Mathematics, 2022, vol. 10, issue 9, 1-8

Abstract: This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method.

Keywords: fractional; differential equation; nonlocal; boundary conditions; inverse problem; numerical method; finite difference method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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