{"id":"https://openalex.org/W4410211368","doi":"https://doi.org/10.3390/app15105227","title":"Explicit Time Integration Method Based on Uniform Trigonometric B-Spline Function for Transient Heat Conduction Analysis","display_name":"Explicit Time Integration Method Based on Uniform Trigonometric B-Spline Function for Transient Heat Conduction Analysis","publication_year":2025,"publication_date":"2025-05-08","ids":{"openalex":"https://openalex.org/W4410211368","doi":"https://doi.org/10.3390/app15105227"},"language":"en","primary_location":{"id":"doi:10.3390/app15105227","doi":"https://doi.org/10.3390/app15105227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app15105227","pdf_url":"https://www.mdpi.com/2076-3417/15/10/5227/pdf?version=1746698774","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2076-3417/15/10/5227/pdf?version=1746698774","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Zixu Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zixu Li","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yongyu Hong","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongyu Hong","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100429745","display_name":"Pan Wang","orcid":"https://orcid.org/0000-0001-6833-8559","observed_orcids":["https://orcid.org/0000-0001-6833-8559","https://orcid.org/0009-0009-8368-4121"]},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pan Wang","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"raw_orcid":"https://orcid.org/0000-0001-6833-8559","affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028509525","display_name":"Weibin Wen","orcid":"https://orcid.org/0000-0001-7906-678X","observed_orcids":["https://orcid.org/0000-0001-7906-678X"]},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weibin Wen","raw_affiliation_strings":["Mechanical Teaching and Experimental Center, Central South University, Changsha 410075, China","School of Civil Engineering, Central South University, Changsha 410075, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Teaching and Experimental Center, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028509525"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":0.447,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48652384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"10","first_page":"5227","last_page":"5227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.5170999765396118,"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"}},"topics":[{"id":"https://openalex.org/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.5170999765396118,"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/T11416","display_name":"Numerical methods for differential equations","score":0.22630000114440918,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.11739999800920486,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/explicit-time-integration","display_name":"explicit time integration","score":0.9390000104904175},{"id":"https://openalex.org/keywords/transient-heat-conduction","display_name":"transient heat conduction","score":0.8679999709129333},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.5720000267028809},{"id":"https://openalex.org/keywords/local-truncation-error","display_name":"local truncation error","score":0.7839999794960022},{"id":"https://openalex.org/keywords/nonlinear-heat-conduction","display_name":"nonlinear heat conduction","score":0.8849999904632568},{"id":"https://openalex.org/keywords/high-order-accuracy","display_name":"high-order accuracy","score":0.6800000071525574},{"id":"https://openalex.org/keywords/stability-region","display_name":"stability region","score":0.5830000042915344}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5155656337738037},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.46993905305862427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43724074959754944},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4234629273414612},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33689308166503906},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24925321340560913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20371711254119873},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.19213998317718506}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/app15105227","doi":"https://doi.org/10.3390/app15105227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app15105227","pdf_url":"https://www.mdpi.com/2076-3417/15/10/5227/pdf?version=1746698774","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9cd6dad2095241d894ef80bd9df69951","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/9cd6dad2095241d894ef80bd9df69951","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Sciences, Vol 15, Iss 10, p 5227 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/app15105227","doi":"https://doi.org/10.3390/app15105227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app15105227","pdf_url":"https://www.mdpi.com/2076-3417/15/10/5227/pdf?version=1746698774","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4100927445","display_name":null,"funder_award_id":"12472144","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6872889493","display_name":null,"funder_award_id":"2023JJ40698","funder_id":"https://openalex.org/F4320322866","funder_display_name":"Natural Science Foundation of Hainan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322866","display_name":"Natural Science Foundation of Hainan Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320330356","display_name":"Distinguished Young Scholar Foundation of Hunan Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410211368.pdf","grobid_xml":"https://content.openalex.org/works/W4410211368.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1530253338","https://openalex.org/W1533907191","https://openalex.org/W1966463219","https://openalex.org/W2004784351","https://openalex.org/W2023406524","https://openalex.org/W2056402339","https://openalex.org/W2073919568","https://openalex.org/W2082043116","https://openalex.org/W2085318949","https://openalex.org/W2126245602","https://openalex.org/W2146615143","https://openalex.org/W2147881343","https://openalex.org/W2159798842","https://openalex.org/W2167657634","https://openalex.org/W2342464883","https://openalex.org/W2345641286","https://openalex.org/W2404806423","https://openalex.org/W2886896485","https://openalex.org/W2912140808","https://openalex.org/W2999327156","https://openalex.org/W3023728121","https://openalex.org/W3043712133","https://openalex.org/W3049381854","https://openalex.org/W3090072336","https://openalex.org/W3104043978","https://openalex.org/W3167037761","https://openalex.org/W3186244803","https://openalex.org/W4206091863","https://openalex.org/W4224919002","https://openalex.org/W4291377982","https://openalex.org/W4303424124","https://openalex.org/W4320879274","https://openalex.org/W4321015174","https://openalex.org/W4366392292","https://openalex.org/W4376650569","https://openalex.org/W4381141046","https://openalex.org/W4385383629","https://openalex.org/W4387418709","https://openalex.org/W4389321418","https://openalex.org/W4390503690","https://openalex.org/W4390847983","https://openalex.org/W4407989352","https://openalex.org/W4408151740","https://openalex.org/W6679052665"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,64],"new":[4],"explicit":[5],"time":[6],"integration":[7],"method":[8,57,81,96],"for":[9,27,97],"transient":[10,74],"heat":[11,30,75,101],"conduction":[12,31,76,102],"analysis":[13,48,72],"is":[14,33,44],"proposed":[15,56,80,95],"based":[16],"on":[17,40],"the":[18,29,55,79,91,94],"uniform":[19],"trigonometric":[20],"B-spline":[21],"function.":[22],"The":[23,35,68,87],"algorithmic":[24],"calculation":[25,61],"procedure":[26],"solving":[28],"problem":[32],"given.":[34],"influence":[36],"of":[37,73,93],"algorithm":[38],"parameters":[39],"accuracy":[41,62],"and":[42,49,63,99],"stability":[43,66],"determined":[45],"by":[46],"theoretical":[47],"numerical":[50,88],"experiments.":[51],"With":[52],"adjustable":[53],"parameters,":[54],"can":[58],"obtain":[59],"high-order":[60],"large":[65],"region.":[67],"local":[69],"truncation":[70],"error":[71],"shows":[77],"that":[78],"has":[82],"at":[83],"least":[84],"second-order":[85],"accuracy.":[86],"examples":[89],"verify":[90],"effectiveness":[92],"linear":[98],"nonlinear":[100],"problems.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
