{"id":"https://openalex.org/W2987968442","doi":"https://doi.org/10.1631/fitee.1900221","title":"Differential evolution based computation intelligence solver for elliptic partial differential equations","display_name":"Differential evolution based computation intelligence solver for elliptic partial differential equations","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W2987968442","doi":"https://doi.org/10.1631/fitee.1900221","mag":"2987968442"},"language":"en","primary_location":{"id":"doi:10.1631/fitee.1900221","is_oa":false,"landing_page_url":"https://doi.org/10.1631/fitee.1900221","pdf_url":null,"source":{"id":"https://openalex.org/S4210189857","display_name":"Frontiers of Information Technology & Electronic Engineering","issn_l":"2095-9184","issn":["2095-9184","2095-9230"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers of Information Technology & Electronic 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/A5089674216","display_name":"Muhammad Faisal Fateh","orcid":null},"institutions":[{"id":"https://openalex.org/I134276161","display_name":"Pakistan Institute of Engineering and Applied Sciences","ror":"https://ror.org/04d4mbk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I134276161"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Faisal Fateh","raw_affiliation_strings":["Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan","institution_ids":["https://openalex.org/I134276161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110919631","display_name":"Aneela Zameer","orcid":null},"institutions":[{"id":"https://openalex.org/I134276161","display_name":"Pakistan Institute of Engineering and Applied Sciences","ror":"https://ror.org/04d4mbk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I134276161"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Aneela Zameer","raw_affiliation_strings":["Department of Computer and Information Sciences, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan","institution_ids":["https://openalex.org/I134276161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053276664","display_name":"Sikander M. Mirza","orcid":"https://orcid.org/0000-0002-4781-4963"},"institutions":[{"id":"https://openalex.org/I134276161","display_name":"Pakistan Institute of Engineering and Applied Sciences","ror":"https://ror.org/04d4mbk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I134276161"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sikander M. Mirza","raw_affiliation_strings":["Department of Physics and Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan","institution_ids":["https://openalex.org/I134276161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046741553","display_name":"Nasir M. Mirza","orcid":null},"institutions":[{"id":"https://openalex.org/I134276161","display_name":"Pakistan Institute of Engineering and Applied Sciences","ror":"https://ror.org/04d4mbk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I134276161"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Nasir M. Mirza","raw_affiliation_strings":["Department of Physics and Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences (PIEAS), Islamabad, 45650, Pakistan","institution_ids":["https://openalex.org/I134276161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065860969","display_name":"Muhammad Saeed Aslam","orcid":"https://orcid.org/0000-0001-6219-4910"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Muhammad Saeed Aslam","raw_affiliation_strings":["School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, 5005, Australia"],"raw_orcid":"https://orcid.org/0000-0001-6219-4910","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, 5005, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"last","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/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":false,"raw_author_name":"Muhammad Asif Zahoor Raja","raw_affiliation_strings":["Department of Electrical and Computer Engineering, COMSATS University Islamabad, Attock Campus, Attock, 43600, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-9953-822X","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, COMSATS University Islamabad, Attock Campus, Attock, 43600, Pakistan","institution_ids":["https://openalex.org/I16076960"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5089674216"],"corresponding_institution_ids":["https://openalex.org/I134276161"],"apc_list":null,"apc_paid":null,"fwci":1.3581,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.80209134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"20","issue":"10","first_page":"1445","last_page":"1456"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"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":0.9995999932289124,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9976000189781189,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9970999956130981,"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":0.6869927644729614},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.4931795001029968},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47925686836242676},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.45698171854019165},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43048587441444397},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4166397154331207},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4137931168079376},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.4121733605861664},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3549303412437439},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3361609876155853}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6869927644729614},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.4931795001029968},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47925686836242676},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.45698171854019165},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43048587441444397},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4166397154331207},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4137931168079376},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.4121733605861664},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3549303412437439},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3361609876155853},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1631/fitee.1900221","is_oa":false,"landing_page_url":"https://doi.org/10.1631/fitee.1900221","pdf_url":null,"source":{"id":"https://openalex.org/S4210189857","display_name":"Frontiers of Information Technology & Electronic Engineering","issn_l":"2095-9184","issn":["2095-9184","2095-9230"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers of Information Technology & Electronic Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1564090692","https://openalex.org/W1595159159","https://openalex.org/W1782895054","https://openalex.org/W1818445224","https://openalex.org/W1866311589","https://openalex.org/W1971889628","https://openalex.org/W1975479076","https://openalex.org/W1996123578","https://openalex.org/W1998153324","https://openalex.org/W2019316311","https://openalex.org/W2035650764","https://openalex.org/W2046899724","https://openalex.org/W2057265674","https://openalex.org/W2075085563","https://openalex.org/W2095036901","https://openalex.org/W2157344677","https://openalex.org/W2245948944","https://openalex.org/W2254193533","https://openalex.org/W2286067901","https://openalex.org/W2291560289","https://openalex.org/W2294575125","https://openalex.org/W2335457376","https://openalex.org/W2418430460","https://openalex.org/W2479314534","https://openalex.org/W2534265379","https://openalex.org/W2536822695","https://openalex.org/W2539327204","https://openalex.org/W2556900048","https://openalex.org/W2579058019","https://openalex.org/W2581978197","https://openalex.org/W2588991968","https://openalex.org/W2596089826","https://openalex.org/W2597353871","https://openalex.org/W2606502891","https://openalex.org/W2656085205","https://openalex.org/W2744987163","https://openalex.org/W2798572826","https://openalex.org/W2810263669","https://openalex.org/W2840797705","https://openalex.org/W2941885552","https://openalex.org/W2963734841","https://openalex.org/W4242963984","https://openalex.org/W4285719527","https://openalex.org/W4292360407","https://openalex.org/W6600175266","https://openalex.org/W6636592841"],"related_works":["https://openalex.org/W3011358647","https://openalex.org/W2682190590","https://openalex.org/W935007796","https://openalex.org/W4243096424","https://openalex.org/W97241627","https://openalex.org/W2358589552","https://openalex.org/W3196497253","https://openalex.org/W2985622559","https://openalex.org/W4366197524","https://openalex.org/W2034694232"],"abstract_inverted_index":{"A":[0,101],"differential":[1,13,80,138,146],"evolution":[2,81,139,147],"based":[3,148],"methodology":[4],"is":[5,62,82],"introduced":[6],"for":[7,56,85,117,136],"the":[8,29,38,46,65,69,75,86,98,120,123,145,153,158,163,168],"solution":[9,87],"of":[10,34,49,68,88,97,103,107,122,144,167],"elliptic":[11,41,89,112],"partial":[12],"equations":[14],"(PDEs)":[15],"with":[16,152],"Dirichlet":[17],"and/or":[18],"Neumann":[19],"boundary":[20],"conditions.":[21],"The":[22,40,59,78],"solutions":[23],"evolve":[24],"over":[25],"bounded":[26],"domains":[27],"throughout":[28],"interior":[30],"nodes":[31],"by":[32,45,91],"minimization":[33,95],"nodal":[35,57,70,150],"deviations":[36],"among":[37],"population.":[39],"PDEs":[42,90,113],"are":[43],"replaced":[44],"corresponding":[47,154],"system":[48],"finite":[50],"difference":[51],"approximation,":[52],"yielding":[53],"an":[54],"expression":[55],"residues.":[58],"global":[60,99],"residue":[61],"declared":[63],"as":[64,74],"root-mean-square":[66],"value":[67],"residues":[71],"and":[72,110,141,165],"taken":[73],"cost":[76],"function.":[77],"standard":[79],"then":[83],"used":[84],"conversion":[92],"to":[93],"a":[94],"problem":[96],"residue.":[100],"set":[102],"benchmark":[104],"problems":[105],"consisting":[106],"both":[108],"linear":[109],"nonlinear":[111],"has":[114,132],"been":[115,133],"considered":[116],"validation,":[118],"proving":[119],"effectiveness":[121],"proposed":[124,169],"algorithm.":[125],"To":[126],"demonstrate":[127],"its":[128],"robustness,":[129],"sensitivity":[130],"analysis":[131],"carried":[134],"out":[135],"various":[137],"operators":[140],"parameters.":[142],"Comparison":[143],"computed":[149],"values":[151],"data":[155],"obtained":[156],"using":[157],"exact":[159],"analytical":[160],"expressions":[161],"shows":[162],"accuracy":[164],"convergence":[166],"methodology.":[170]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}