{"id":"https://openalex.org/W2915673066","doi":"https://doi.org/10.3390/sym11020239","title":"Some Real-Life Applications of a Newly Constructed Derivative Free Iterative Scheme","display_name":"Some Real-Life Applications of a Newly Constructed Derivative Free Iterative Scheme","publication_year":2019,"publication_date":"2019-02-15","ids":{"openalex":"https://openalex.org/W2915673066","doi":"https://doi.org/10.3390/sym11020239","mag":"2915673066"},"language":"en","primary_location":{"id":"doi:10.3390/sym11020239","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020239","pdf_url":"https://www.mdpi.com/2073-8994/11/2/239/pdf?version=1550233939","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/2/239/pdf?version=1550233939","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078192871","display_name":"Ramandeep Behl","orcid":"https://orcid.org/0000-0003-1505-8945"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Ramandeep Behl","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054172626","display_name":"Mehdi Salimi","orcid":"https://orcid.org/0000-0002-6537-6346"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Salimi","raw_affiliation_strings":["Center for Dynamics and Institute for Analysis, Department of Mathematics, Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Center for Dynamics and Institute for Analysis, Department of Mathematics, Technische Universit\u00e4t Dresden, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002127800","display_name":"\u041c\u0430\u0441\u0441\u0438\u043c\u0438\u043b\u0438\u0430\u043d\u043e \u0424\u0435\u0440\u0440\u0430\u0440\u0430","orcid":"https://orcid.org/0000-0002-3663-836X"},"institutions":[{"id":"https://openalex.org/I59725666","display_name":"University of Reggio Calabria","ror":"https://ror.org/041sz8d87","country_code":"IT","type":"education","lineage":["https://openalex.org/I59725666"]},{"id":"https://openalex.org/I71209653","display_name":"Bocconi University","ror":"https://ror.org/05crjpb27","country_code":"IT","type":"education","lineage":["https://openalex.org/I71209653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Ferrara","raw_affiliation_strings":["Department of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy","ICRIOS\u2014The Invernizzi Centre for Research on Innovation, Organization, Strategy and Entrepreneurship, Department of Management and Technology, Bocconi University, Via Sarfatti, 25, 20136 Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Law, Economics and Human Sciences, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy","institution_ids":["https://openalex.org/I59725666"]},{"raw_affiliation_string":"ICRIOS\u2014The Invernizzi Centre for Research on Innovation, Organization, Strategy and Entrepreneurship, Department of Management and Technology, Bocconi University, Via Sarfatti, 25, 20136 Milano, Italy","institution_ids":["https://openalex.org/I71209653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102825442","display_name":"Somayeh Sharifi","orcid":"https://orcid.org/0000-0003-1657-2540"},"institutions":[{"id":"https://openalex.org/I4210107293","display_name":"Universit\u00e0 per Stranieri Dante Alighieri","ror":"https://ror.org/01gz5zx42","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210107293"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Sharifi","raw_affiliation_strings":["MEDAlics, Research Center at Universit\u00e0 per Stranieri Dante Alighieri, 89125 Reggio Calabria, Italy"],"affiliations":[{"raw_affiliation_string":"MEDAlics, Research Center at Universit\u00e0 per Stranieri Dante Alighieri, 89125 Reggio Calabria, Italy","institution_ids":["https://openalex.org/I4210107293"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047258626","display_name":"Samaher Khalaf Alharbi","orcid":null},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Samaher Khalaf Alharbi","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5078192871"],"corresponding_institution_ids":["https://openalex.org/I185163786"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":6.1656,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.97340426,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"2","first_page":"239","last_page":"239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9915000200271606,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9648000001907349,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6697758436203003},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5967076420783997},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5825009942054749},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5613214373588562},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5519548654556274},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5116375088691711},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5062836408615112},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48979687690734863},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46618884801864624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.445822149515152},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3819352090358734},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3496687114238739},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16768544912338257}],"concepts":[{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6697758436203003},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5967076420783997},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5825009942054749},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5613214373588562},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5519548654556274},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5116375088691711},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5062836408615112},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48979687690734863},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46618884801864624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.445822149515152},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3819352090358734},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3496687114238739},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16768544912338257},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym11020239","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020239","pdf_url":"https://www.mdpi.com/2073-8994/11/2/239/pdf?version=1550233939","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9f806ea99b5f4209b412c7611daefbf8","is_oa":true,"landing_page_url":"https://doaj.org/article/9f806ea99b5f4209b412c7611daefbf8","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":"Symmetry, Vol 11, Iss 2, p 239 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11020239","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020239","pdf_url":"https://www.mdpi.com/2073-8994/11/2/239/pdf?version=1550233939","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2915673066.pdf","grobid_xml":"https://content.openalex.org/works/W2915673066.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1603497002","https://openalex.org/W1966536904","https://openalex.org/W1972417972","https://openalex.org/W1982246852","https://openalex.org/W1994767054","https://openalex.org/W2000643599","https://openalex.org/W2004693784","https://openalex.org/W2004754728","https://openalex.org/W2008789565","https://openalex.org/W2044645841","https://openalex.org/W2067520338","https://openalex.org/W2069375119","https://openalex.org/W2075659701","https://openalex.org/W2092354497","https://openalex.org/W2101645551","https://openalex.org/W2118066179","https://openalex.org/W2123213107","https://openalex.org/W2162397574","https://openalex.org/W2166523047","https://openalex.org/W2197860359","https://openalex.org/W2281739488","https://openalex.org/W2285146761","https://openalex.org/W2478429860","https://openalex.org/W2563776347","https://openalex.org/W2591588317","https://openalex.org/W2782282275","https://openalex.org/W2811123432","https://openalex.org/W2963827957","https://openalex.org/W6635339388","https://openalex.org/W6677617485"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2122599759","https://openalex.org/W4236520801","https://openalex.org/W1537234410","https://openalex.org/W2353644209","https://openalex.org/W1517908938","https://openalex.org/W1995022398","https://openalex.org/W2484602794","https://openalex.org/W2593663830"],"abstract_inverted_index":{"In":[0,73,129],"this":[1,161],"study,":[2],"we":[3],"present":[4,39,82],"a":[5,67,70,120,169],"new":[6,46,141],"higher-order":[7],"scheme":[8,28,40,58,83,106],"without":[9],"memory":[10],"for":[11],"simple":[12],"zeros":[13],"which":[14,92],"has":[15],"two":[16],"major":[17],"advantages.":[18],"The":[19,150],"first":[20,64],"one":[21,35],"is":[22,29,36,41,107],"that":[23,37],"each":[24],"member":[25],"of":[26,43,49,80,104,152,165,171],"our":[27,105],"derivative":[30,56],"free":[31,57],"and":[32,77,97],"the":[33,38,61,75,81,89,94,102,132,136,140,146,155],"second":[34],"capable":[42],"producing":[44],"many":[45],"optimal":[47,55],"family":[48,142],"eighth-order":[50],"methods":[51,138,158],"from":[52],"every":[53],"4-order":[54],"(available":[59],"in":[60,119,139,145],"literature)":[62],"whose":[63],"substep":[65],"employs":[66],"Steffensen":[68],"or":[69],"Steffensen-like":[71],"method.":[72],"addition,":[74],"theoretical":[76],"computational":[78],"properties":[79],"are":[84],"fully":[85],"investigated":[86],"along":[87],"with":[88,131],"main":[90],"theorem,":[91],"demonstrates":[93],"convergence":[95],"order":[96],"asymptotic":[98],"error":[99],"constant.":[100],"Moreover,":[101],"effectiveness":[103],"tested":[108],"on":[109,154],"several":[110],"real-life":[111],"problems":[112],"like":[113],"Van":[114],"der":[115],"Waal\u2019s,":[116],"fractional":[117],"transformation":[118],"chemical":[121,123],"reactor,":[122],"engineering,":[124],"adiabatic":[125],"flame":[126],"temperature,":[127],"etc.":[128],"comparison":[130],"existing":[133],"robust":[134],"techniques,":[135],"iterative":[137,157],"perform":[143],"better":[144],"considered":[147],"test":[148,172],"examples.":[149],"study":[151],"dynamics":[153],"proposed":[156],"also":[159],"confirms":[160],"fact":[162],"via":[163],"basins":[164],"attraction":[166],"applied":[167],"to":[168],"number":[170],"functions.":[173]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
