{"id":"https://openalex.org/W2155576729","doi":"https://doi.org/10.1016/s0096-3003(01)00083-2","title":"An exponential heat balance integral method","display_name":"An exponential heat balance integral method","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W2155576729","doi":"https://doi.org/10.1016/s0096-3003(01)00083-2","mag":"2155576729"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(01)00083-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00083-2","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5029042447","display_name":"Farida M. Mosally","orcid":null},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"F. Mosally","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013465643","display_name":"A.S. Wood","orcid":"https://orcid.org/0000-0003-1961-9308"},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"A.S. Wood","raw_affiliation_strings":["Department of Mechanical and Medical Engineering, University of Bradford, Bradford, West Yorkshire BD7 1DP, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Medical Engineering, University of Bradford, Bradford, West Yorkshire BD7 1DP, UK","institution_ids":["https://openalex.org/I139894009"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032529951","display_name":"A. S. Al-Fhaid","orcid":null},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"A. Al-Fhaid","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013465643"],"corresponding_institution_ids":["https://openalex.org/I139894009"],"apc_list":{"value":3470,"currency":"USD","value_usd":3470},"apc_paid":null,"fwci":2.3127,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.87702316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"130","issue":"1","first_page":"87","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10938","display_name":"Phase Change Materials Research","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/exponential-function","display_name":"Exponential function","score":0.6043362021446228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.602735161781311},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5701492428779602},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5228503346443176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4415643513202667},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.43662744760513306},{"id":"https://openalex.org/keywords/balance","display_name":"Balance (ability)","score":0.4360790550708771},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.418554425239563},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.362575888633728},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1568131446838379},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10210323333740234}],"concepts":[{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6043362021446228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.602735161781311},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5701492428779602},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5228503346443176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4415643513202667},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.43662744760513306},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.4360790550708771},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.418554425239563},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.362575888633728},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1568131446838379},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10210323333740234},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C99508421","wikidata":"https://www.wikidata.org/wiki/Q2678675","display_name":"Physical medicine and rehabilitation","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0096-3003(01)00083-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(01)00083-2","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.629.7735","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.629.7735","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.kau.edu.sa/Files/0000823/files/20882_exponential.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1188032535","https://openalex.org/W1998607018","https://openalex.org/W2002729176","https://openalex.org/W2009077137","https://openalex.org/W2054535407","https://openalex.org/W2071986200","https://openalex.org/W2074702171","https://openalex.org/W2078644288","https://openalex.org/W2168333634","https://openalex.org/W2499311457","https://openalex.org/W2730193802","https://openalex.org/W2916526828","https://openalex.org/W4206946871","https://openalex.org/W6806840326"],"related_works":["https://openalex.org/W2314643997","https://openalex.org/W2001919142","https://openalex.org/W2064885017","https://openalex.org/W2107979732","https://openalex.org/W2024384024","https://openalex.org/W2910133962","https://openalex.org/W4318773840","https://openalex.org/W2034969324","https://openalex.org/W3156307967","https://openalex.org/W4381384462"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}