Fractional Radiative Transfer Equation Within Chebyshev Spectral Approach
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kadem, Abdelouhab | |
| dc.date.accessioned | 2016-06-08T08:43:36Z | |
| dc.date.accessioned | 2025-09-18T12:06:04Z | |
| dc.date.available | 2016-06-08T08:43:36Z | |
| dc.date.available | 2025-09-18T12:06:04Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | In this work we report the convergence of the Chebyshev polynomials combined with the S-N method for the steady state transport equation using the fractional derivative. The procedure is based on the expansion of the angular flux in a truncated series of orthogonal polynomials that results in the transformation of the multidimensional problem into a system of fractional differential equations. The convergence of this approach is studied in the context of the multidimensional discrete-ordinates equations. (C) 2009 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.citation | Kadem, A., Baleanu, D. (2010). Fractional radiative transfer equation within Chebyshev spectral approach. Computers&Mathematics With Applications, 59(5), 1865-1873. http://dx.doi.org/10.1016/j.camwa.2009.08.030 | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2009.08.030 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.issn | 1873-7668 | |
| dc.identifier.scopus | 2-s2.0-76649139784 | |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2009.08.030 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10803 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Computers & Mathematics with Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Radiative Transfer Equation | en_US |
| dc.subject | Chebyshev Polynomials | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.title | Fractional Radiative Transfer Equation Within Chebyshev Spectral Approach | en_US |
| dc.title | Fractional radiative transfer equation within Chebyshev spectral approach | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Kadem, Abdelouhab] Univ Setif, LMFN Math Dept, Setif, Algeria; [Baleanu, Dumitru] Inst Space Sci, Natl Inst Laser Plasma & Radiat, R-76911 Magurele, Romania | en_US |
| gdc.description.endpage | 1873 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1865 | en_US |
| gdc.description.volume | 59 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Fractional radiative transfer equation | |
| gdc.oaire.keywords | Chebyshev polynomials | |
| gdc.oaire.keywords | Caputo derivative | |
| gdc.oaire.keywords | caputo derivative | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | fractional radiative transfer equation | |
| gdc.oaire.keywords | Diffusion | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
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