{"id":"https://openalex.org/W2107402646","doi":"https://doi.org/10.1108/03684920910962650","title":"New results on the approximate solution of the non\u2010linear partial derivative equation system of corona\u2010electrostatic separation","display_name":"New results on the approximate solution of the non\u2010linear partial derivative equation system of corona\u2010electrostatic separation","publication_year":2009,"publication_date":"2009-06-12","ids":{"openalex":"https://openalex.org/W2107402646","doi":"https://doi.org/10.1108/03684920910962650","mag":"2107402646"},"language":"en","primary_location":{"id":"doi:10.1108/03684920910962650","is_oa":false,"landing_page_url":"https://doi.org/10.1108/03684920910962650","pdf_url":null,"source":{"id":"https://openalex.org/S168682784","display_name":"Kybernetes","issn_l":"0368-492X","issn":["0368-492X","1758-7883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetes","raw_type":"journal-article"},"type":"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/A5112104659","display_name":"A. Caron","orcid":null},"institutions":[{"id":"https://openalex.org/I2802204017","display_name":"Universit\u00e9 de Bretagne Sud","ror":"https://ror.org/04ed7fw48","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802204017"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Armand Caron","raw_affiliation_strings":["D\u00e9partement QLIO, IUT de Lorient, Lorient, France","LIMAT, Laboratoire d'Ing\u00e9ni\u00e9rie des MAT\u00e9riaux, Universit\u00e9 de Bretagne\u2010Sud, Lorient, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement QLIO, IUT de Lorient, Lorient, France","institution_ids":[]},{"raw_affiliation_string":"LIMAT, Laboratoire d'Ing\u00e9ni\u00e9rie des MAT\u00e9riaux, Universit\u00e9 de Bretagne\u2010Sud, Lorient, France","institution_ids":["https://openalex.org/I2802204017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112104659"],"corresponding_institution_ids":["https://openalex.org/I2802204017"],"apc_list":null,"apc_paid":null,"fwci":0.2991,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63477622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"5","first_page":"762","last_page":"779"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12163","display_name":"Aerosol Filtration and Electrostatic Precipitation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12163","display_name":"Aerosol Filtration and Electrostatic Precipitation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10511","display_name":"High voltage insulation and dielectric phenomena","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/corona","display_name":"Corona (planetary geology)","score":0.5454866886138916},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5176039934158325},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.50360506772995},{"id":"https://openalex.org/keywords/electric-field","display_name":"Electric field","score":0.492998331785202},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.462100625038147},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44396859407424927},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.43089088797569275},{"id":"https://openalex.org/keywords/electrostatics","display_name":"Electrostatics","score":0.4172939956188202},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4169297218322754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4143049120903015},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38072410225868225},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2622000575065613},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25067877769470215},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07819464802742004}],"concepts":[{"id":"https://openalex.org/C2776779350","wikidata":"https://www.wikidata.org/wiki/Q1134503","display_name":"Corona (planetary geology)","level":3,"score":0.5454866886138916},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5176039934158325},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.50360506772995},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.492998331785202},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.462100625038147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44396859407424927},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.43089088797569275},{"id":"https://openalex.org/C117626034","wikidata":"https://www.wikidata.org/wiki/Q26336","display_name":"Electrostatics","level":2,"score":0.4172939956188202},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4169297218322754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4143049120903015},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38072410225868225},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2622000575065613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25067877769470215},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07819464802742004},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2779900269","wikidata":"https://www.wikidata.org/wiki/Q1408724","display_name":"Venus","level":2,"score":0.0},{"id":"https://openalex.org/C87355193","wikidata":"https://www.wikidata.org/wiki/Q411","display_name":"Astrobiology","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/03684920910962650","is_oa":false,"landing_page_url":"https://doi.org/10.1108/03684920910962650","pdf_url":null,"source":{"id":"https://openalex.org/S168682784","display_name":"Kybernetes","issn_l":"0368-492X","issn":["0368-492X","1758-7883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetes","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W205780333","https://openalex.org/W433315214","https://openalex.org/W643252736","https://openalex.org/W1968218841","https://openalex.org/W1970207285","https://openalex.org/W1998379985","https://openalex.org/W2020300807","https://openalex.org/W2031056279","https://openalex.org/W2048269707","https://openalex.org/W2068366483","https://openalex.org/W2076931988","https://openalex.org/W2085006526","https://openalex.org/W2087568522","https://openalex.org/W2099003692","https://openalex.org/W2132259756","https://openalex.org/W2148909742","https://openalex.org/W2156642528","https://openalex.org/W2316726391","https://openalex.org/W4237118118","https://openalex.org/W4245149087"],"related_works":["https://openalex.org/W2164198674","https://openalex.org/W1969601161","https://openalex.org/W1986109963","https://openalex.org/W1965591751","https://openalex.org/W2011188029","https://openalex.org/W1965974478","https://openalex.org/W4249368357","https://openalex.org/W1767607552","https://openalex.org/W2372663877","https://openalex.org/W2782711679"],"abstract_inverted_index":{"Purpose":[0],"The":[1,44,73,89],"purpose":[2],"of":[3,56,106],"this":[4],"paper":[5,74,90],"is":[6,68],"to":[7,10,13,17,83,85,97,118],"add":[8],"precisions":[9],"a":[11,29,65],"method,":[12],"demonstrate":[14],"the":[15,47,60,76,80,86,92,100,104,107,110],"convergence,":[16],"explain":[18],"time":[19],"and":[20,24,79],"memory":[21],"space":[22],"complexities":[23],"new":[25,119],"simulated":[26],"results":[27],"on":[28],"non\u2010linear":[30,48],"partial":[31,49],"derivative":[32,50],"equation":[33],"system":[34,51,55],"governing":[35],"corona\u2010electrostatic":[36,111],"electric":[37,112],"field":[38,113],"for":[39,103,114],"granular":[40,115],"mixture":[41,116],"separation.":[42],"Design/methodology/approach":[43],"method":[45],"converts":[46],"into":[52],"an":[53],"iterative":[54],"linear":[57],"equations.":[58],"Using":[59],"well\u2010known":[61],"finite":[62],"difference":[63],"approximation,":[64],"numerical":[66,94,101],"solution":[67,95],"computed":[69],"very":[70],"quickly.":[71],"Findings":[72],"gives":[75],"truncated":[77],"error":[78,82],"approximation":[81],"conclude":[84],"convergence.":[87],"Originality/value":[88],"shows":[91],"fast":[93],"leads":[96],"confidence":[98],"in":[99],"approximations":[102],"comprehension":[105],"phenomenon.":[108],"Extends":[109],"separation":[117],"geometries":[120],"easily.":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}