{"id":"https://openalex.org/W2963979042","doi":"https://doi.org/10.1155/2019/7432138","title":"Solving of Two\u2010Dimensional Unsteady\u2010State Heat\u2010Transfer Inverse Problem Using Finite Difference Method and Model Prediction Control Method","display_name":"Solving of Two\u2010Dimensional Unsteady\u2010State Heat\u2010Transfer Inverse Problem Using Finite Difference Method and Model Prediction Control Method","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2963979042","doi":"https://doi.org/10.1155/2019/7432138","mag":"2963979042"},"language":"en","primary_location":{"id":"doi:10.1155/2019/7432138","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/7432138","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/7432138.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2019/7432138.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052427990","display_name":"Shoubin Wang","orcid":"https://orcid.org/0000-0003-2608-4946"},"institutions":[{"id":"https://openalex.org/I168673124","display_name":"Tianjin Chengjian University","ror":"https://ror.org/01d0bkz51","country_code":"CN","type":"education","lineage":["https://openalex.org/I168673124"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shoubin Wang","raw_affiliation_strings":["School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin , China","School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin 300384, China"],"affiliations":[{"raw_affiliation_string":"School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin , China","institution_ids":["https://openalex.org/I168673124"]},{"raw_affiliation_string":"School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin 300384, China","institution_ids":["https://openalex.org/I168673124"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022695153","display_name":"Rui Yang Ni","orcid":null},"institutions":[{"id":"https://openalex.org/I168673124","display_name":"Tianjin Chengjian University","ror":"https://ror.org/01d0bkz51","country_code":"CN","type":"education","lineage":["https://openalex.org/I168673124"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Ni","raw_affiliation_strings":["School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin , China","School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin 300384, China"],"affiliations":[{"raw_affiliation_string":"School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin , China","institution_ids":["https://openalex.org/I168673124"]},{"raw_affiliation_string":"School of Control and Mechanical Engineering, Tianjin Chengjian University, Tianjin 300384, China","institution_ids":["https://openalex.org/I168673124"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052427990"],"corresponding_institution_ids":["https://openalex.org/I168673124"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":5.6795,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.97110507,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5494430065155029},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5213502645492554},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5077604055404663},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.4954303503036499},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4909863770008087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4774506688117981},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45824170112609863},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.457746684551239},{"id":"https://openalex.org/keywords/transfer","display_name":"Transfer (computing)","score":0.4530477523803711},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.44952359795570374},{"id":"https://openalex.org/keywords/inverse-method","display_name":"Inverse method","score":0.43644657731056213},{"id":"https://openalex.org/keywords/finite-state","display_name":"Finite state","score":0.41180139780044556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3988090455532074},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37246665358543396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20173338055610657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1579512357711792},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11864495277404785},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10923442244529724},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10106927156448364},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09341457486152649}],"concepts":[{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5494430065155029},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5213502645492554},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5077604055404663},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.4954303503036499},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4909863770008087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4774506688117981},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45824170112609863},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.457746684551239},{"id":"https://openalex.org/C2776175482","wikidata":"https://www.wikidata.org/wiki/Q1195816","display_name":"Transfer (computing)","level":2,"score":0.4530477523803711},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.44952359795570374},{"id":"https://openalex.org/C2983319462","wikidata":"https://www.wikidata.org/wiki/Q15948129","display_name":"Inverse method","level":2,"score":0.43644657731056213},{"id":"https://openalex.org/C2983497884","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite state","level":3,"score":0.41180139780044556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3988090455532074},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37246665358543396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20173338055610657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1579512357711792},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11864495277404785},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10923442244529724},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10106927156448364},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09341457486152649},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2019/7432138","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/7432138","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/7432138.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:7432138","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2019/7432138.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:9fe5bc659c0d4746b1b67ebc174c2429","is_oa":true,"landing_page_url":"https://doaj.org/article/9fe5bc659c0d4746b1b67ebc174c2429","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2019 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2019/7432138","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/7432138","pdf_url":"https://downloads.hindawi.com/journals/complexity/2019/7432138.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320326709","display_name":"Tianjin Municipal Education Commission","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963979042.pdf","grobid_xml":"https://content.openalex.org/works/W2963979042.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1574584754","https://openalex.org/W1977626276","https://openalex.org/W2005228958","https://openalex.org/W2014894448","https://openalex.org/W2021800291","https://openalex.org/W2031410305","https://openalex.org/W2041213003","https://openalex.org/W2041723991","https://openalex.org/W2082802259","https://openalex.org/W2084914400","https://openalex.org/W2086931409","https://openalex.org/W2178574523","https://openalex.org/W2278550909","https://openalex.org/W2373298714","https://openalex.org/W2373725318","https://openalex.org/W2378930953","https://openalex.org/W2387060667","https://openalex.org/W2388156562","https://openalex.org/W2394459575","https://openalex.org/W2734969227","https://openalex.org/W2766758728","https://openalex.org/W2803196365","https://openalex.org/W2888868505","https://openalex.org/W2895276274","https://openalex.org/W3003417948","https://openalex.org/W4243162175"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W2171402820","https://openalex.org/W4251142058","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W1965041963","https://openalex.org/W2007426143","https://openalex.org/W2384221708"],"abstract_inverted_index":{"The":[0,66,98],"Inverse":[1],"Heat":[2],"Conduction":[3],"Problem":[4],"(IHCP)":[5],"refers":[6],"to":[7,33,52,79,103,131],"the":[8,11,29,37,47,57,81,85,92,105,110,133,147,158,169,177,184,190,198],"inversion":[9,120],"of":[10,18,28,49,140,160,186,193],"internal":[12],"characteristics":[13],"or":[14,189],"thermal":[15],"boundary":[16,87,199],"conditions":[17,27],"a":[19,117],"heat":[20,95],"transfer":[21],"system":[22,30,38],"by":[23,151,174],"using":[24],"other":[25],"known":[26],"and":[31,64,73,164],"according":[32],"some":[34],"information":[35],"that":[36],"can":[39],"observe.":[40],"It":[41],"has":[42],"been":[43],"extensively":[44],"applied":[45],"in":[46,84,91,109,136],"fields":[48],"engineering":[50],"related":[51],"heat\u2010transfer":[53,88],"measurement,":[54],"such":[55],"as":[56,144,146],"aerospace,":[58],"atomic":[59],"energy":[60],"technology,":[61],"mechanical":[62],"engineering,":[63],"metallurgy.":[65],"paper":[67],"adopts":[68],"Finite":[69,122],"Difference":[70],"Method":[71,77],"(FDM)":[72,125],"Model":[74],"Predictive":[75],"Control":[76],"(MPCM)":[78],"study":[80],"inverse":[82,155,170],"problem":[83,130,156],"third\u2010type":[86],"coefficient":[89],"involved":[90],"two\u2010dimensional":[93],"unsteady":[94],"conduction":[96],"system.":[97],"residual":[99],"principle":[100],"is":[101,126],"introduced":[102],"estimate":[104],"optimized":[106],"regularization":[107],"parameter":[108],"model":[111],"prediction":[112],"control":[113],"method,":[114],"thereby":[115],"obtaining":[116],"more":[118],"precise":[119,182],"result.":[121,171],"difference":[123],"method":[124,179],"adopted":[127],"for":[128],"direct":[129],"calculate":[132],"temperature":[134,148],"value":[135],"various":[137],"time":[138,152],"quanta":[139],"needed":[141],"discrete":[142],"point":[143,166,195,201],"well":[145],"field":[149],"verification":[150],"quantum,":[153],"while":[154],"discusses":[157],"impact":[159],"different":[161],"measurement":[162,165,187,194],"errors":[163,188],"positions":[167],"on":[168],"As":[172],"demonstrated":[173],"empirical":[175],"analysis,":[176],"proposed":[178],"remains":[180],"highly":[181],"despite":[183],"presence":[185],"close":[191],"distance":[192],"position":[196],"from":[197],"angular":[200],"angle.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
