{"id":"https://openalex.org/W2793031886","doi":"https://doi.org/10.1155/2018/8269541","title":"A Numerical Algorithm for Solving Higher\u2010Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder","display_name":"A Numerical Algorithm for Solving Higher\u2010Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2793031886","doi":"https://doi.org/10.1155/2018/8269541","mag":"2793031886"},"language":"en","primary_location":{"id":"doi:10.1155/2018/8269541","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8269541","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/8269541.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2018/8269541.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003573413","display_name":"Laila Y. Al Sakkaf","orcid":null},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Laila Y. Al Sakkaf","raw_affiliation_strings":["Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin, UAE","Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin"],"affiliations":[{"raw_affiliation_string":"Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin, UAE","institution_ids":["https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin","institution_ids":["https://openalex.org/I201726411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086772145","display_name":"Qasem M. Al\u2010Mdallal","orcid":"https://orcid.org/0000-0002-2853-9337"},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":true,"raw_author_name":"Qasem M. Al-Mdallal","raw_affiliation_strings":["Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, AlAin, UAE","Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, AlAin"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, AlAin, UAE","institution_ids":["https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, AlAin","institution_ids":["https://openalex.org/I201726411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045052352","display_name":"U. Al Khawaja","orcid":null},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"U. Al Khawaja","raw_affiliation_strings":["Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin, UAE","Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin"],"affiliations":[{"raw_affiliation_string":"Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin, UAE","institution_ids":["https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Physics, United Arab Emirates University, P.O. Box 15551, AlAin","institution_ids":["https://openalex.org/I201726411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086772145"],"corresponding_institution_ids":["https://openalex.org/I201726411"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":2.4976,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.88201839,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9990000128746033,"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9990000128746033,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9947999715805054,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cylinder","display_name":"Cylinder","score":0.6264833211898804},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6151304841041565},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.527864396572113},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45678505301475525},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4443154036998749},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.422341525554657},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4101477265357971},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4045040011405945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40265151858329773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4013685882091522},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20158380270004272},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17185822129249573}],"concepts":[{"id":"https://openalex.org/C203311528","wikidata":"https://www.wikidata.org/wiki/Q34132","display_name":"Cylinder","level":2,"score":0.6264833211898804},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6151304841041565},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.527864396572113},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45678505301475525},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4443154036998749},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.422341525554657},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4101477265357971},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4045040011405945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40265151858329773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4013685882091522},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20158380270004272},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17185822129249573},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2018/8269541","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8269541","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/8269541.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:8269541","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2018/8269541.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:76eeb61075cf4ad68eaf0ad8a6a1de9f","is_oa":true,"landing_page_url":"https://doaj.org/article/76eeb61075cf4ad68eaf0ad8a6a1de9f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/8269541","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/8269541","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/8269541.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8199999928474426,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1984783067","display_name":null,"funder_award_id":"UPAR (4) 2016","funder_id":"https://openalex.org/F4320323593","funder_display_name":"United Arab Emirates University"},{"id":"https://openalex.org/G2715318340","display_name":null,"funder_award_id":"UPAR (7) 2015","funder_id":"https://openalex.org/F4320323593","funder_display_name":"United Arab Emirates University"}],"funders":[{"id":"https://openalex.org/F4320323593","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2793031886.pdf","grobid_xml":"https://content.openalex.org/works/W2793031886.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W595846807","https://openalex.org/W1509395880","https://openalex.org/W1552413739","https://openalex.org/W1560556759","https://openalex.org/W1969342902","https://openalex.org/W1977344101","https://openalex.org/W1978327827","https://openalex.org/W1980676040","https://openalex.org/W1988615247","https://openalex.org/W1990351299","https://openalex.org/W1994898087","https://openalex.org/W1995249182","https://openalex.org/W1998123047","https://openalex.org/W2012580470","https://openalex.org/W2013758652","https://openalex.org/W2016571978","https://openalex.org/W2020462254","https://openalex.org/W2027590529","https://openalex.org/W2029376943","https://openalex.org/W2030669316","https://openalex.org/W2031695085","https://openalex.org/W2035270754","https://openalex.org/W2042665508","https://openalex.org/W2045772735","https://openalex.org/W2046443412","https://openalex.org/W2049321482","https://openalex.org/W2054591568","https://openalex.org/W2063534287","https://openalex.org/W2067441314","https://openalex.org/W2071031751","https://openalex.org/W2076009044","https://openalex.org/W2082612598","https://openalex.org/W2082727206","https://openalex.org/W2086900155","https://openalex.org/W2089996117","https://openalex.org/W2103299535","https://openalex.org/W2106633940","https://openalex.org/W2114841744","https://openalex.org/W2121020818","https://openalex.org/W2128880522","https://openalex.org/W2155246970","https://openalex.org/W2167142714","https://openalex.org/W2298069349","https://openalex.org/W2586431251","https://openalex.org/W2610186680","https://openalex.org/W4245971783","https://openalex.org/W4299312113"],"related_works":["https://openalex.org/W2071889114","https://openalex.org/W1499911826","https://openalex.org/W2015869945","https://openalex.org/W2154204858","https://openalex.org/W2384640630","https://openalex.org/W2743164080","https://openalex.org/W4245159301","https://openalex.org/W1979316761","https://openalex.org/W3209622820","https://openalex.org/W1982387580"],"abstract_inverted_index":{"We":[0,38],"present":[1,85,126],"an":[2,34,115],"efficient":[3],"iterative":[4,35],"power":[5],"series":[6],"method":[7,26,41,86],"for":[8,91],"nonlinear":[9,65,77],"boundary\u2010value":[10,78],"problems":[11,79],"that":[12],"treats":[13],"the":[14,21,31,44,63,93,119,125],"typical":[15],"divergence":[16],"problem":[17],"and":[18,47,51,67,95,99,114,122],"increases":[19],"arbitrarily":[20],"radius":[22],"of":[23,76,80,124],"convergence.":[24],"This":[25],"is":[27],"based":[28],"on":[29],"expanding":[30],"solution":[32,102,117],"around":[33],"initial":[36],"point.":[37],"employ":[39],"this":[40],"to":[42,73],"study":[43],"unsteady,":[45],"viscous,":[46],"incompressible":[48],"laminar":[49],"flow":[50,94],"heat":[52,96],"transfer":[53,97],"over":[54],"a":[55,74,100,104],"shrinking":[56],"permeable":[57],"cylinder.":[58],"More":[59],"precisely,":[60],"we":[61],"solve":[62],"unsteady":[64],"Navier\u2013Stokes":[66],"energy":[68],"equations":[69],"after":[70],"reducing":[71],"them":[72],"system":[75],"ordinary":[81],"differential":[82],"equations.":[83],"The":[84],"successfully":[87],"captures":[88],"dual":[89],"solutions":[90],"both":[92],"fields":[98],"unique":[101],"at":[103],"specific":[105],"critical":[106],"unsteadiness":[107],"parameter.":[108],"Comparisons":[109],"with":[110],"previous":[111],"numerical":[112],"methods":[113],"exact":[116],"verify":[118],"validity,":[120],"accuracy,":[121],"efficiency":[123],"method.":[127]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
