乐胖代购免代理版

{"id":"https://openalex.org/W2002347314","doi":"https://doi.org/10.1080/00207160.2013.829917","title":"A new numerical algorithm based on the first kind of modified Bessel function to solve population growth in a closed system","display_name":"A new numerical algorithm based on the first kind of modified Bessel function to solve population growth in a closed system","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2002347314","doi":"https://doi.org/10.1080/00207160.2013.829917","mag":"2002347314"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2013.829917","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090033177","display_name":"Kourosh Parand","orcid":"https://orcid.org/0000-0001-5946-0771"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"K. Parand","raw_affiliation_strings":["Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, P.O. Box 198396-3113, Tehran, Iran#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, P.O. Box 198396-3113, Tehran, Iran#TAB#","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036441621","display_name":"Jamal Amani Rad","orcid":"https://orcid.org/0000-0002-7322-7412"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"J.A. Rad","raw_affiliation_strings":["Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, P.O. Box 198396-3113, Tehran, Iran#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, P.O. Box 198396-3113, Tehran, Iran#TAB#","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001217321","display_name":"Mehran Nikarya","orcid":"https://orcid.org/0000-0001-9751-9973"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Nikarya","raw_affiliation_strings":["Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, P.O. Box 198396-3113, Tehran, Iran#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, P.O. Box 198396-3113, Tehran, Iran#TAB#","institution_ids":["https://openalex.org/I48379061"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.597,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":7,"citation_normalized_percentile":{"value":0.606805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":83,"max":84},"biblio":{"volume":"91","issue":"6","first_page":"1239","last_page":"1254"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9992,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9817,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11188","display_name":"Coagulation and Flocculation Studies","score":0.9597,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.58026403},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5175354},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.4705722}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.68979967},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6344843},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.59371233},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.58026403},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5175354},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4783701},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47653183},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4705722},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4630983},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4387725},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43577397},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38868827},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38371482},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3539837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23836902},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21626055},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2013.829917","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":54,"referenced_works":["https://openalex.org/W1484822889","https://openalex.org/W1535869933","https://openalex.org/W1565299123","https://openalex.org/W1599524282","https://openalex.org/W1734689372","https://openalex.org/W1805381866","https://openalex.org/W1935520366","https://openalex.org/W195686979","https://openalex.org/W1979262886","https://openalex.org/W1980775080","https://openalex.org/W1983731610","https://openalex.org/W1987710019","https://openalex.org/W1992643075","https://openalex.org/W2005289601","https://openalex.org/W2007254031","https://openalex.org/W2010044571","https://openalex.org/W2015297818","https://openalex.org/W2018893257","https://openalex.org/W2021440751","https://openalex.org/W2021629544","https://openalex.org/W2022861208","https://openalex.org/W2022983350","https://openalex.org/W2024876006","https://openalex.org/W2025548596","https://openalex.org/W2026075053","https://openalex.org/W2028783611","https://openalex.org/W2031029918","https://openalex.org/W2033942740","https://openalex.org/W2034542575","https://openalex.org/W2036363161","https://openalex.org/W2038152738","https://openalex.org/W2044962298","https://openalex.org/W2045559874","https://openalex.org/W2047035089","https://openalex.org/W2061336203","https://openalex.org/W2061505012","https://openalex.org/W2062911420","https://openalex.org/W2065378774","https://openalex.org/W2065522541","https://openalex.org/W2068305880","https://openalex.org/W2070653091","https://openalex.org/W2076946206","https://openalex.org/W2077383639","https://openalex.org/W2077918491","https://openalex.org/W2081072676","https://openalex.org/W2085325232","https://openalex.org/W2104028271","https://openalex.org/W2107221565","https://openalex.org/W2149669651","https://openalex.org/W2331625639","https://openalex.org/W2334296037","https://openalex.org/W4229868531","https://openalex.org/W4234491501","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W4362679168","https://openalex.org/W2995994864","https://openalex.org/W2955944315","https://openalex.org/W2884782836","https://openalex.org/W2790439055","https://openalex.org/W2104028271","https://openalex.org/W2101059679","https://openalex.org/W2080581460","https://openalex.org/W2022624718","https://openalex.org/W2009588801"],"abstract_inverted_index":{"Volterra's":[0,100],"model":[1,102,115],"for":[2,36],"population":[3,101],"growth":[4],"in":[5,17,78,103,159],"a":[6,30,86,127,133],"closed":[7],"system":[8,135],"includes":[9],"an":[10,117],"integral":[11],"term":[12],"to":[13,19,64,85,116,129,161],"indicate":[14],"accumulated":[15],"toxicity":[16],"addition":[18],"the":[20,24,47,52,56,66,69,83,104,108,124,130,141,148,152,164],"usual":[21],"terms":[22],"of":[23,51,126,132,136,143,151],"logistic":[25],"equation.":[26],"In":[27,59],"this":[28,38,60,114],"research,":[29],"new":[31,165],"numerical":[32,42,149],"algorithm":[33],"is":[34,44],"introduced":[35],"solving":[37],"model.":[39],"The":[40],"proposed":[41],"approach":[43],"based":[45],"on":[46,68],"modified":[48],"Bessel":[49],"function":[50],"first":[53],"kind":[54],"and":[55,81,107,169],"collocation":[57,94],"method.":[58],"method,":[61],"we":[62,90,146],"aim":[63],"solve":[65],"problems":[67],"semi-infinite":[70],"domain":[71,74],"without":[72],"any":[73],"truncation,":[75],"variable":[76],"transformation":[77],"basis":[79],"functions":[80],"shifting":[82],"problem":[84,128],"finite":[87],"domain.":[88],"Accordingly,":[89],"employ":[91],"two":[92],"different":[93],"approaches,":[95],"one":[96],"by":[97,110,112],"computing":[98,111],"through":[99],"integro-differential":[105],"form":[106],"other":[109,160],"converting":[113],"ordinary":[118],"differential":[119],"form.":[120],"These":[121],"methods":[122,154,166],"reduce":[123],"solution":[125,131],"nonlinear":[134],"algebraic":[137],"equations.":[138],"To":[139],"illustrate":[140],"reliability":[142],"these":[144],"methods,":[145],"compare":[147],"results":[150,158],"present":[153],"with":[155],"some":[156],"well-known":[157],"show":[162],"that":[163],"are":[167],"efficient":[168],"applicable.":[170]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2002347314","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2024-12-12T02:47:10.308583","created_date":"2016-06-24"}