{"id":"https://openalex.org/W4404853964","doi":"https://doi.org/10.1142/s179396232450048x","title":"Dynamics of Darcy\u2013Forchheimer flow of Casson nanofluidic model with Newtonian heating: Nonlinear input\u2013output neural networks","display_name":"Dynamics of Darcy\u2013Forchheimer flow of Casson nanofluidic model with Newtonian heating: Nonlinear input\u2013output neural networks","publication_year":2024,"publication_date":"2024-11-29","ids":{"openalex":"https://openalex.org/W4404853964","doi":"https://doi.org/10.1142/s179396232450048x"},"language":"en","primary_location":{"id":"doi:10.1142/s179396232450048x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179396232450048x","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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/A5021853545","display_name":"Zahoor Shah","orcid":"https://orcid.org/0000-0001-8708-8401"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Zahoor Shah","raw_affiliation_strings":["Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100740838","display_name":"Muhammad Asif Zahoor Raja","orcid":"https://orcid.org/0000-0001-9953-822X"},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Muhammad Asif Zahoor Raja","raw_affiliation_strings":["Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan, R.O.C"],"affiliations":[{"raw_affiliation_string":"Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan, R.O.C","institution_ids":["https://openalex.org/I75357094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763769","display_name":"Muhammad Shoaib","orcid":"https://orcid.org/0000-0001-8295-9861"},"institutions":[{"id":"https://openalex.org/I99908691","display_name":"Yuan Ze University","ror":"https://ror.org/01fv1ds98","country_code":"TW","type":"education","lineage":["https://openalex.org/I99908691"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Muhammad Shoaib","raw_affiliation_strings":["Artificial Intelligence Center, Yuan Ze University, AI Center, Taoyuan 320, Taiwan"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Center, Yuan Ze University, AI Center, Taoyuan 320, Taiwan","institution_ids":["https://openalex.org/I99908691"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075214573","display_name":"Faisal Shahzad","orcid":"https://orcid.org/0000-0001-6971-9177"},"institutions":[{"id":"https://openalex.org/I4210127728","display_name":"Mohi-ud-Din Islamic University","ror":"https://ror.org/03dd8b657","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210127728"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Faisal Shahzad","raw_affiliation_strings":["Department of Mathematics, Mohi-Ud-Din Islamic, University Nerian Sharif AJK, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mohi-Ud-Din Islamic, University Nerian Sharif AJK, Pakistan","institution_ids":["https://openalex.org/I4210127728"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021853545"],"corresponding_institution_ids":["https://openalex.org/I16076960"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2008739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9679999947547913,"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"}},"topics":[{"id":"https://openalex.org/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9679999947547913,"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"}},{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9577999711036682,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9376999735832214,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7558398246765137},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.5970527529716492},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5545444488525391},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.4817885756492615},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4678277373313904},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4629550576210022},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4228541851043701},{"id":"https://openalex.org/keywords/non-newtonian-fluid","display_name":"Non-Newtonian fluid","score":0.41080060601234436},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3864341974258423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34702563285827637},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.23710021376609802},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.19872742891311646},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.18929007649421692},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.07693126797676086},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07270079851150513}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7558398246765137},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.5970527529716492},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5545444488525391},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.4817885756492615},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4678277373313904},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4629550576210022},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4228541851043701},{"id":"https://openalex.org/C84403224","wikidata":"https://www.wikidata.org/wiki/Q860589","display_name":"Non-Newtonian fluid","level":2,"score":0.41080060601234436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3864341974258423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34702563285827637},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.23710021376609802},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.19872742891311646},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.18929007649421692},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.07693126797676086},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07270079851150513},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179396232450048x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179396232450048x","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W2741377309","https://openalex.org/W2793091284","https://openalex.org/W2809381387","https://openalex.org/W2899282817","https://openalex.org/W2989839104","https://openalex.org/W2999807893","https://openalex.org/W3003679051","https://openalex.org/W3010465953","https://openalex.org/W3017029041","https://openalex.org/W3026364898","https://openalex.org/W3036631204","https://openalex.org/W3046560741","https://openalex.org/W3091623062","https://openalex.org/W3095474933","https://openalex.org/W3096293110","https://openalex.org/W3109534075","https://openalex.org/W3156459552","https://openalex.org/W3165780699","https://openalex.org/W3177210480","https://openalex.org/W3200847814","https://openalex.org/W4200401871","https://openalex.org/W4205125119","https://openalex.org/W4210691426","https://openalex.org/W4224275886","https://openalex.org/W4285265513","https://openalex.org/W4306862034","https://openalex.org/W4309951939","https://openalex.org/W4312200116","https://openalex.org/W4376618884","https://openalex.org/W4378388818","https://openalex.org/W4385219515","https://openalex.org/W4388948825","https://openalex.org/W4389513460","https://openalex.org/W4390669476","https://openalex.org/W4390815799","https://openalex.org/W4391928376","https://openalex.org/W4392091282","https://openalex.org/W4392470074"],"related_works":["https://openalex.org/W2390876504","https://openalex.org/W2896003791","https://openalex.org/W2391251536","https://openalex.org/W2128951066","https://openalex.org/W2362198218","https://openalex.org/W2019521278","https://openalex.org/W1984922432","https://openalex.org/W1636325709","https://openalex.org/W2035428445","https://openalex.org/W2069539172"],"abstract_inverted_index":{"This":[0],"research":[1],"work":[2],"presents":[3],"the":[4,8,41,47,51,67,126,133,143,174,180,187],"numerical":[5],"solution":[6],"of":[7,11,26,33,43,50,121,163,183,189],"Darcy\u2013Forchheimer":[9],"flow":[10],"Casson":[12,52,77],"nanofluidic":[13],"model":[14],"(DFFCNFM)":[15],"on":[16,46,55],"stretching":[17,96],"sheets":[18],"with":[19,31,70,119,152],"Newtonian":[20],"heating":[21],"by":[22,75,142,173],"utilizing":[23],"a":[24],"combination":[25],"nonlinear":[27,115],"input\u2013output":[28,116],"neural":[29,117],"networks":[30,118],"backpropagation":[32,120],"Levenberg\u2013Marquardt":[34,122],"computational":[35],"approach.":[36],"The":[37,110,136,165],"presented":[38],"study":[39],"investigates":[40],"impact":[42],"electroosmosis":[44],"forces":[45],"boundary":[48],"layer":[49],"nanofluid,":[53],"focusing":[54],"viscous":[56],"and":[57,106,167,186],"Joule":[58],"dissipations.":[59],"A":[60],"dataset":[61,128],"for":[62,66,129,160],"DFFCNFM":[63,130],"is":[64,123,170],"generated":[65,127],"different":[68],"events":[69],"backward":[71],"differentiation":[72],"formula":[73],"(BDF)":[74],"varying":[76],"fluid":[78],"parameter":[79,84,87],"([Formula:":[80,88,100],"see":[81,89,101,156,158],"text],":[82,90,102],"permeability":[83],"(Da),":[85],"electric":[86],"Reynolds":[91],"number":[92,104,108],"(Re)":[93],"relative":[94],"to":[95,131,179],"velocity,":[97],"magnetic":[98],"field":[99],"Eckert":[103],"(Ec),":[105],"Prandtl":[107],"(Pr).":[109],"artificial":[111],"intelligence-inspired":[112],"technique":[113],"via":[114],"utilized":[124],"from":[125],"find":[132],"approximate":[134],"solutions.":[135],"satisfactory":[137],"performance":[138,168],"levels,":[139],"as":[140],"indicated":[141],"mean":[144],"square":[145],"error":[146],"(MSE),":[147],"have":[148],"been":[149],"attained":[150],"consistently":[151],"magnitude":[153],"around":[154],"10[Formula:":[155],"text]\u201310[Formula:":[157],"text]":[159],"all":[161],"scenarios":[162],"DFFCNFM.":[164],"precision":[166],"validation":[169],"effectively":[171],"established":[172],"negligible":[175],"MSE,":[176],"close":[177],"proximity":[178],"unit":[181],"value":[182],"regression":[184],"metric,":[185],"distribution":[188],"instances":[190],"in":[191],"error-histograms.":[192]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
