{"id":"https://openalex.org/W2279180254","doi":"https://doi.org/10.3233/jcm-150584","title":"The numerical analysis of the weighted average method for heat conduction equation in one dimension","display_name":"The numerical analysis of the weighted average method for heat conduction equation in one dimension","publication_year":2015,"publication_date":"2015-12-31","ids":{"openalex":"https://openalex.org/W2279180254","doi":"https://doi.org/10.3233/jcm-150584","mag":"2279180254"},"language":"en","primary_location":{"id":"doi:10.3233/jcm-150584","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-150584","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","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/A5110624073","display_name":"Hongxia Li","orcid":"https://orcid.org/0000-0002-5052-2742"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hongxia Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5110624073"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16874247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"4","first_page":"653","last_page":"661"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9986000061035156,"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":0.9972000122070312,"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/dimension","display_name":"Dimension (graph theory)","score":0.7006655931472778},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.657520592212677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6378211379051208},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.5293216109275818},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.420646071434021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3880283832550049},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3344741761684418},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17374473810195923},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.16534486413002014},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09943544864654541}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7006655931472778},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.657520592212677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6378211379051208},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.5293216109275818},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.420646071434021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3880283832550049},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3344741761684418},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17374473810195923},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.16534486413002014},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09943544864654541}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jcm-150584","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-150584","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1495278797","https://openalex.org/W1670030248","https://openalex.org/W1968559856","https://openalex.org/W1977245994","https://openalex.org/W2016331318","https://openalex.org/W2070851600","https://openalex.org/W2082453046","https://openalex.org/W2498216762"],"related_works":["https://openalex.org/W4312379396","https://openalex.org/W2032521508","https://openalex.org/W2352135387","https://openalex.org/W2331317693","https://openalex.org/W2374988613","https://openalex.org/W53859782","https://openalex.org/W1967381426","https://openalex.org/W3155742172","https://openalex.org/W2033626558","https://openalex.org/W2739520963"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"will":[4],"consider":[5],"the":[6,21,25,35,39],"weighted":[7],"average":[8],"method":[9],"for":[10],"heat":[11],"conduction":[12],"equation":[13],"in":[14],"one":[15],"dimension.":[16],"When":[17,46],"\u03b8":[18,32,49],"\u2260":[19],"1/2":[20,34],"truncation":[22,36],"error":[23,37],"of":[24,38],"scheme":[26,40],"is":[27,41],"O(\u03c4":[28,42],"+":[29,44],"h^2);":[30],"if":[31],"=":[33],"^2":[43],"h^2).":[45],"0":[47],"\u2264":[48,50],"1/":[51]},"counts_by_year":[],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}
