Numerical Solution and Distinguishability in Time Fractional Parabolic Equation

dc.contributor.author Demir, Ali
dc.contributor.author Kanca, Fatma
dc.contributor.author Ozbilge, Ebru
dc.date.accessioned 2019-06-27T08:02:14Z
dc.date.available 2019-06-27T08:02:14Z
dc.date.issued 2015
dc.department Fakülteler, İşletme Fakültesi, Yönetim Bilişim Sistemleri Bölümü en_US
dc.description.abstract This article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of input-output mappings in the linear time fractional inhomogeneous parabolic equation D(t)(alpha)u(x t) = (k(x)u(x))(x) + r(t)F(x t) 0 < alpha = 1 with mixed boundary conditions u(0 t) = psi(0)(t) u(x)(1 t) = psi(1)(t). By defining the input-output mappings Phi[center dot] : kappa -> C-1[0 T] and psi[center dot] : kappa -> C[0 T] the inverse problem is reduced to the problem of their invertibility. Hence the main purpose of this study is to investigate the distinguishability of the input-output mappings Phi[center dot] and psi[center dot]. Moreover the measured output data f (t) and h(t) can be determined analytically by a series representation which implies that the input-output mappings Phi[center dot] : kappa -> C-1[0 T] and psi[center dot] : kappa -> C[0 T] can be described explicitly where Phi[r] = k(x)u(x)(x t en_US]
dc.description.abstract r)vertical bar(x= 0) and psi[r] = u(x t en_US]
dc.description.abstract r)vertical bar(x= 1). Also numerical tests using finite difference scheme combined with an iterative method are presented. en_US]
dc.identifier.citationcount 10
dc.identifier.doi 10.1186/s13661-015-0405-6 en_US
dc.identifier.issn 1687-2770 en_US
dc.identifier.issn 1687-2770
dc.identifier.scopus 2-s2.0-84939187174 en_US
dc.identifier.scopusquality Q3
dc.identifier.uri https://hdl.handle.net/20.500.12469/577
dc.identifier.uri https://doi.org/10.1186/s13661-015-0405-6
dc.identifier.wos WOS:000361550500002 en_US
dc.institutionauthor Kanca, Fatma en_US
dc.language.iso en en_US
dc.publisher Springer International Publishing Ag en_US
dc.relation.journal Boundary Value Problems en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 10
dc.title Numerical Solution and Distinguishability in Time Fractional Parabolic Equation en_US
dc.type Article en_US
dc.wos.citedbyCount 11
dspace.entity.type Publication

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Numerical solution and distinguishability in time fractional parabolic equation.pdf
Size:
1.52 MB
Format:
Adobe Portable Document Format
Description: