Analysis of the fractional neutron point kinetics (FNPK) equation
•Numerical analysis of the fractional neutron point kinetics (FNPK) equations.•Effect of the each term between fractional derivatives of the FNPK.•The fractional derivative of the source term is negligible.•FNPK model is simplified. The aim of this work is investigate the effects of each term of fra...
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| Veröffentlicht in: | Annals of nuclear energy 2016-06, Vol.92, p.363-368 |
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| container_title | Annals of nuclear energy |
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| creator | Espinosa-Paredes, Gilberto Polo-Labarrios, Marco-A. |
| description | •Numerical analysis of the fractional neutron point kinetics (FNPK) equations.•Effect of the each term between fractional derivatives of the FNPK.•The fractional derivative of the source term is negligible.•FNPK model is simplified.
The aim of this work is investigate the effects of each term of fractional neutron point kinetics (FNPK) equations. The FNPK approach includes three fractional derivatives, which are explored in this work to understand their effect on the neutron density, the concentration of neutron precursors, and the source term. According with the results of the numerical experiments, the derivative with respect to time of the source term is negligible and the FNPK is simplified. |
| doi_str_mv | 10.1016/j.anucene.2016.02.009 |
| format | Article |
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The aim of this work is investigate the effects of each term of fractional neutron point kinetics (FNPK) equations. The FNPK approach includes three fractional derivatives, which are explored in this work to understand their effect on the neutron density, the concentration of neutron precursors, and the source term. According with the results of the numerical experiments, the derivative with respect to time of the source term is negligible and the FNPK is simplified.</description><identifier>ISSN: 0306-4549</identifier><identifier>EISSN: 1873-2100</identifier><identifier>DOI: 10.1016/j.anucene.2016.02.009</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Anomalous diffusion coefficient ; Density ; Derivatives ; Fraction neutron point kinetics ; Mathematical analysis ; Mathematical models ; Nuclear engineering ; Nuclear reactor ; Nuclear reactor components ; Nuclear reactors ; Precursors ; Relaxation time</subject><ispartof>Annals of nuclear energy, 2016-06, Vol.92, p.363-368</ispartof><rights>2016 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c342t-31571fdfb35809be576bb37c54ab8339dbcad3f4a80f2a6b8fa8c90c448f6fc63</citedby><cites>FETCH-LOGICAL-c342t-31571fdfb35809be576bb37c54ab8339dbcad3f4a80f2a6b8fa8c90c448f6fc63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0306454916300809$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Espinosa-Paredes, Gilberto</creatorcontrib><creatorcontrib>Polo-Labarrios, Marco-A.</creatorcontrib><title>Analysis of the fractional neutron point kinetics (FNPK) equation</title><title>Annals of nuclear energy</title><description>•Numerical analysis of the fractional neutron point kinetics (FNPK) equations.•Effect of the each term between fractional derivatives of the FNPK.•The fractional derivative of the source term is negligible.•FNPK model is simplified.
The aim of this work is investigate the effects of each term of fractional neutron point kinetics (FNPK) equations. The FNPK approach includes three fractional derivatives, which are explored in this work to understand their effect on the neutron density, the concentration of neutron precursors, and the source term. According with the results of the numerical experiments, the derivative with respect to time of the source term is negligible and the FNPK is simplified.</description><subject>Anomalous diffusion coefficient</subject><subject>Density</subject><subject>Derivatives</subject><subject>Fraction neutron point kinetics</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Nuclear engineering</subject><subject>Nuclear reactor</subject><subject>Nuclear reactor components</subject><subject>Nuclear reactors</subject><subject>Precursors</subject><subject>Relaxation time</subject><issn>0306-4549</issn><issn>1873-2100</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqFkEFLwzAUx4MoOKcfQchxHlpfmrRNTzKGU3GoBz2HNH3BzC3dklbYt7dlu3t6vMfv_4f3I-SWQcqAFffrVPveoMc0G9YUshSgOiMTJkueZAzgnEyAQ5GIXFSX5CrGNQDLpBATMp97vTlEF2lrafeN1AZtOtcOV-qx70Lr6a51vqM_zmPnTKSz5dvH6x3Ffa9H8JpcWL2JeHOaU_K1fPxcPCer96eXxXyVGC6yLuEsL5ltbM1zCVWNeVnUNS9NLnQtOa-a2uiGW6El2EwXtbRamgqMENIW1hR8SmbH3l1o9z3GTm1dNLjZaI9tHxWTIKFgohzR_Iia0MYY0KpdcFsdDoqBGpWptTopU6MyBZkalA25h2MOhz9-HQYVjUNvsHEBTaea1v3T8Af7kXd3</recordid><startdate>201606</startdate><enddate>201606</enddate><creator>Espinosa-Paredes, Gilberto</creator><creator>Polo-Labarrios, Marco-A.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7SU</scope><scope>7TB</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>201606</creationdate><title>Analysis of the fractional neutron point kinetics (FNPK) equation</title><author>Espinosa-Paredes, Gilberto ; Polo-Labarrios, Marco-A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c342t-31571fdfb35809be576bb37c54ab8339dbcad3f4a80f2a6b8fa8c90c448f6fc63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Anomalous diffusion coefficient</topic><topic>Density</topic><topic>Derivatives</topic><topic>Fraction neutron point kinetics</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Nuclear engineering</topic><topic>Nuclear reactor</topic><topic>Nuclear reactor components</topic><topic>Nuclear reactors</topic><topic>Precursors</topic><topic>Relaxation time</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Espinosa-Paredes, Gilberto</creatorcontrib><creatorcontrib>Polo-Labarrios, Marco-A.</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Environmental Engineering Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Annals of nuclear energy</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Espinosa-Paredes, Gilberto</au><au>Polo-Labarrios, Marco-A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of the fractional neutron point kinetics (FNPK) equation</atitle><jtitle>Annals of nuclear energy</jtitle><date>2016-06</date><risdate>2016</risdate><volume>92</volume><spage>363</spage><epage>368</epage><pages>363-368</pages><issn>0306-4549</issn><eissn>1873-2100</eissn><abstract>•Numerical analysis of the fractional neutron point kinetics (FNPK) equations.•Effect of the each term between fractional derivatives of the FNPK.•The fractional derivative of the source term is negligible.•FNPK model is simplified.
The aim of this work is investigate the effects of each term of fractional neutron point kinetics (FNPK) equations. The FNPK approach includes three fractional derivatives, which are explored in this work to understand their effect on the neutron density, the concentration of neutron precursors, and the source term. According with the results of the numerical experiments, the derivative with respect to time of the source term is negligible and the FNPK is simplified.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.anucene.2016.02.009</doi><tpages>6</tpages></addata></record> |
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| ispartof | Annals of nuclear energy, 2016-06, Vol.92, p.363-368 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Anomalous diffusion coefficient Density Derivatives Fraction neutron point kinetics Mathematical analysis Mathematical models Nuclear engineering Nuclear reactor Nuclear reactor components Nuclear reactors Precursors Relaxation time |
| title | Analysis of the fractional neutron point kinetics (FNPK) equation |
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