{"id":"https://openalex.org/W4407859892","doi":"https://doi.org/10.1080/00207160.2025.2469246","title":"A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions","display_name":"A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions","publication_year":2025,"publication_date":"2025-02-21","ids":{"openalex":"https://openalex.org/W4407859892","doi":"https://doi.org/10.1080/00207160.2025.2469246"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2025.2469246","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2025.2469246","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5101413959","display_name":"Qingzhu Wang","orcid":"https://orcid.org/0000-0002-2685-2303"},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingzhu Wang","raw_affiliation_strings":["Guizhou Normal University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guizhou Normal University","institution_ids":["https://openalex.org/I154893126"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101247499","display_name":"Jihui Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jihui Zheng","raw_affiliation_strings":["Guizhou Normal University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guizhou Normal University","institution_ids":["https://openalex.org/I154893126"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082125860","display_name":"Jing An","orcid":"https://orcid.org/0000-0001-5703-9721"},"institutions":[{"id":"https://openalex.org/I154893126","display_name":"Guizhou Normal University","ror":"https://ror.org/02x1pa065","country_code":"CN","type":"education","lineage":["https://openalex.org/I154893126"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing An","raw_affiliation_strings":["Guizhou Normal University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guizhou Normal University","institution_ids":["https://openalex.org/I154893126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082125860"],"corresponding_institution_ids":["https://openalex.org/I154893126"],"apc_list":null,"apc_paid":null,"fwci":0.8854,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73685673,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"102","issue":"7","first_page":"979","last_page":"995"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9997000098228455,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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/mathematics","display_name":"Mathematics","score":0.761881947517395},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.7156276106834412},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5642776489257812},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.523563802242279},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.43941372632980347},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4292798340320587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41898012161254883},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1846376657485962}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.761881947517395},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.7156276106834412},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5642776489257812},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.523563802242279},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.43941372632980347},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4292798340320587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41898012161254883},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1846376657485962},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2025.2469246","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2025.2469246","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.5299999713897705,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G537159754","display_name":null,"funder_award_id":"12461078","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1039311547","https://openalex.org/W1990225789","https://openalex.org/W1993204543","https://openalex.org/W2015780082","https://openalex.org/W2050969603","https://openalex.org/W2062347020","https://openalex.org/W2088123313","https://openalex.org/W2090910153","https://openalex.org/W2375307434","https://openalex.org/W2914533859","https://openalex.org/W2954026694","https://openalex.org/W3033453049","https://openalex.org/W3080098434","https://openalex.org/W3115786359","https://openalex.org/W3212667470","https://openalex.org/W3216167645","https://openalex.org/W4225818284","https://openalex.org/W4253937035","https://openalex.org/W4293659289","https://openalex.org/W4376137564","https://openalex.org/W4378603080","https://openalex.org/W4380790187","https://openalex.org/W4384008965"],"related_works":["https://openalex.org/W2368213093","https://openalex.org/W2378263446","https://openalex.org/W1586418441","https://openalex.org/W2393913967","https://openalex.org/W2100405323","https://openalex.org/W2020502833","https://openalex.org/W1514481392","https://openalex.org/W2373945555","https://openalex.org/W3136311820","https://openalex.org/W2546575016"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,29,48,89,103],"propose":[4],"and":[5,36,53,70,110,114],"investigate":[6,23],"a":[7,50,54],"novel":[8],"mixed":[9,101],"spectral":[10,115],"method":[11],"for":[12],"solving":[13],"the":[14,24,27,38,62,64,67,71,79,83,100,105],"fourth-order":[15],"problem":[16,40],"with":[17],"Neumann":[18],"boundary":[19],"conditions.":[20],"To":[21],"theoretically":[22],"well-posedness":[25,65],"of":[26,61,66,82],"solutions,":[28],"incorporate":[30],"an":[31,42,92],"auxiliary":[32],"variable":[33],"containing":[34],"parameters":[35],"transform":[37],"original":[39],"into":[41],"equivalent":[43],"second-order":[44],"coupled":[45],"system.":[46],"Subsequently,":[47],"establish":[49],"weak":[51,68],"form":[52,69,74],"discrete":[55,72],"variational":[56,73],"form.":[57],"Under":[58],"specific":[59],"conditions":[60],"parameter,":[63],"is":[75],"proven.":[76],"By":[77],"utilizing":[78],"approximation":[80],"properties":[81],"projection":[84],"operator":[85],"in":[86],"Sobolev":[87],"space,":[88],"further":[90],"provide":[91],"error":[93],"estimate":[94],"between":[95],"them.":[96],"Specifically,":[97],"based":[98],"on":[99],"scheme,":[102],"extend":[104],"algorithm":[106],"to":[107],"complex":[108],"domains":[109],"validate":[111],"its":[112],"effectiveness":[113],"accuracy":[116],"through":[117],"extensive":[118],"numerical":[119],"examples.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2025-10-10T00:00:00"}