{"id":"https://openalex.org/W2255472625","doi":"https://doi.org/10.1080/00207160.2015.1080355","title":"Collocation method using quintic B-spline and sinc functions for solving a model of squeezing flow between two infinite plates","display_name":"Collocation method using quintic B-spline and sinc functions for solving a model of squeezing flow between two infinite plates","publication_year":2015,"publication_date":"2015-08-07","ids":{"openalex":"https://openalex.org/W2255472625","doi":"https://doi.org/10.1080/00207160.2015.1080355","mag":"2255472625"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1080355","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1080355","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/A5065147563","display_name":"Abbas Saadatmandi","orcid":"https://orcid.org/0000-0002-7744-7770"},"institutions":[{"id":"https://openalex.org/I105818395","display_name":"University of Kashan","ror":"https://ror.org/015zmr509","country_code":"IR","type":"education","lineage":["https://openalex.org/I105818395"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Abbas Saadatmandi","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan87317-51167, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan87317-51167, Iran","institution_ids":["https://openalex.org/I105818395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064435253","display_name":"Afsaneh Asadi","orcid":null},"institutions":[{"id":"https://openalex.org/I105818395","display_name":"University of Kashan","ror":"https://ror.org/015zmr509","country_code":"IR","type":"education","lineage":["https://openalex.org/I105818395"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Afsaneh Asadi","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan87317-51167, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan87317-51167, Iran","institution_ids":["https://openalex.org/I105818395"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082094106","display_name":"Ali Eftekhari","orcid":"https://orcid.org/0000-0003-3568-4812"},"institutions":[{"id":"https://openalex.org/I105818395","display_name":"University of Kashan","ror":"https://ror.org/015zmr509","country_code":"IR","type":"education","lineage":["https://openalex.org/I105818395"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ali Eftekhari","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan87317-51167, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan87317-51167, Iran","institution_ids":["https://openalex.org/I105818395"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065147563"],"corresponding_institution_ids":["https://openalex.org/I105818395"],"apc_list":null,"apc_paid":null,"fwci":0.4785,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.68082437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"93","issue":"11","first_page":"1921","last_page":"1936"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.996399998664856,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.7760913968086243},{"id":"https://openalex.org/keywords/sinc-function","display_name":"Sinc function","score":0.7022467851638794},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.6423699855804443},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6278021335601807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6234317421913147},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.5960325002670288},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5600200295448303},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5505731701850891},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44046786427497864},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.41712379455566406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3921874761581421},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.29200565814971924},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2083401083946228},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.13467609882354736},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12464189529418945},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07859861850738525}],"concepts":[{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.7760913968086243},{"id":"https://openalex.org/C152303783","wikidata":"https://www.wikidata.org/wiki/Q855949","display_name":"Sinc function","level":2,"score":0.7022467851638794},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.6423699855804443},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6278021335601807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6234317421913147},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.5960325002670288},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5600200295448303},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5505731701850891},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44046786427497864},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.41712379455566406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3921874761581421},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.29200565814971924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2083401083946228},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.13467609882354736},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12464189529418945},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07859861850738525},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1080355","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1080355","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W613415755","https://openalex.org/W1508314167","https://openalex.org/W1524640800","https://openalex.org/W1586044118","https://openalex.org/W1964261565","https://openalex.org/W1964549939","https://openalex.org/W1967465814","https://openalex.org/W1969698401","https://openalex.org/W1978689201","https://openalex.org/W1989115847","https://openalex.org/W1995356931","https://openalex.org/W1998813595","https://openalex.org/W2005289601","https://openalex.org/W2010044571","https://openalex.org/W2016229570","https://openalex.org/W2016562746","https://openalex.org/W2018449064","https://openalex.org/W2019655025","https://openalex.org/W2022983350","https://openalex.org/W2027588384","https://openalex.org/W2028619353","https://openalex.org/W2038785086","https://openalex.org/W2040559749","https://openalex.org/W2042250814","https://openalex.org/W2051439140","https://openalex.org/W2056480684","https://openalex.org/W2058788530","https://openalex.org/W2059241330","https://openalex.org/W2062421353","https://openalex.org/W2062800776","https://openalex.org/W2062852653","https://openalex.org/W2066407037","https://openalex.org/W2068600378","https://openalex.org/W2080242034","https://openalex.org/W2089580562","https://openalex.org/W2112299838","https://openalex.org/W2162870748","https://openalex.org/W2182836177","https://openalex.org/W2301920453","https://openalex.org/W2323524020","https://openalex.org/W2594235686","https://openalex.org/W4229786028","https://openalex.org/W4293185733","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W4386710595","https://openalex.org/W2126876943","https://openalex.org/W2078318892","https://openalex.org/W4362611576","https://openalex.org/W1964549939","https://openalex.org/W1981176056","https://openalex.org/W2042250814","https://openalex.org/W2465392335","https://openalex.org/W2589542160","https://openalex.org/W2128677642"],"abstract_inverted_index":{"AbstractAn":[0],"axisymmetric":[1],"viscous":[2],"flow,":[3],"generated":[4],"by":[5,126],"two":[6],"large":[7],"parallel":[8],"plates":[9],"slowly":[10],"approaching":[11],"each":[12],"other":[13],"is":[14,38,76],"investigated.":[15],"The":[16,32,47],"steady":[17],"nonlinear":[18,26,34],"governing":[19],"equations":[20],"are":[21,62,94,131],"converted":[22],"into":[23],"a":[24,55,74],"fourth-order":[25],"differential":[27],"equation":[28],"using":[29,40],"integrability":[30],"condition.":[31],"resulting":[33],"boundary":[35],"value":[36],"problem":[37,53],"solved":[39],"quintic":[41,84],"B-spline":[42],"collocation":[43],"and":[44,68,73,105,109],"sinc-collocation":[45],"methods.":[46],"approach":[48],"consists":[49],"of":[50,57,70,116,122,137,143],"reducing":[51],"the":[52,66,71,82,103,117,127,135,140],"to":[54,64,97,114,134],"set":[56],"algebraic":[58],"equations.":[59],"Numerical":[60],"examples":[61],"included":[63],"demonstrate":[65],"validity":[67],"applicability":[69],"techniques":[72],"comparison":[75],"made":[77],"with":[78],"existing":[79],"results":[80],"in":[81],"literature.Keywords:":[83],"B-splinesinc-collocationsqueezing":[85],"flowaxisymmetricnumerical":[86],"solution2010":[87],"AMS":[88],"Subject":[89],"Classifications:":[90],"65L6041A1541A3034B15":[91],"AcknowledgmentsThe":[92],"authors":[93,130],"very":[95],"grateful":[96],"both":[98],"reviewers":[99],"for":[100,106,139],"carefully":[101],"reading":[102],"paper":[104],"their":[107],"comments":[108],"suggestions":[110],"which":[111],"have":[112],"led":[113],"improvement":[115],"paper.Disclosure":[118],"statementNo":[119],"potential":[120],"conflict":[121],"interest":[123],"was":[124],"reported":[125],"authors.Additional":[128],"informationFundingThe":[129],"also":[132],"thankful":[133],"University":[136],"Kashan":[138],"financial":[141],"support":[142],"this":[144],"work.":[145]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}