{"id":"https://openalex.org/W3177400438","doi":"https://doi.org/10.3390/sym13071162","title":"Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences","display_name":"Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences","publication_year":2021,"publication_date":"2021-06-28","ids":{"openalex":"https://openalex.org/W3177400438","doi":"https://doi.org/10.3390/sym13071162","mag":"3177400438"},"language":"en","primary_location":{"id":"doi:10.3390/sym13071162","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13071162","pdf_url":"https://www.mdpi.com/2073-8994/13/7/1162/pdf?version=1624936589","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/2073-8994/13/7/1162/pdf?version=1624936589","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":false,"raw_author_name":"Ramandeep Behl","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-1505-8945","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087674067","display_name":"Ioannis K. Argyros","orcid":"https://orcid.org/0000-0002-9189-9298"},"institutions":[{"id":"https://openalex.org/I113618177","display_name":"Cameron University","ror":"https://ror.org/00rgv0036","country_code":"US","type":"education","lineage":["https://openalex.org/I113618177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ioannis K. Argyros","raw_affiliation_strings":["Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA","institution_ids":["https://openalex.org/I113618177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047354909","display_name":"Fouad Mallawi","orcid":"https://orcid.org/0000-0002-3434-443X"},"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":"Fouad Othman Mallawi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059808785","display_name":"Christopher I. Argyros","orcid":"https://orcid.org/0000-0002-7647-3571"},"institutions":[{"id":"https://openalex.org/I8692664","display_name":"University of Oklahoma","ror":"https://ror.org/02aqsxs83","country_code":"US","type":"education","lineage":["https://openalex.org/I8692664"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher I. Argyros","raw_affiliation_strings":["Department of Computer Science, University of Oklahoma, Norman, OK 73071, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oklahoma, Norman, OK 73071, USA","institution_ids":["https://openalex.org/I8692664"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087674067"],"corresponding_institution_ids":["https://openalex.org/I113618177"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3124,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53340782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"7","first_page":"1162","last_page":"1162"},"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":0.9886000156402588,"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":0.9876000285148621,"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/uniqueness","display_name":"Uniqueness","score":0.6929926872253418},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6636080741882324},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.649129331111908},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6037306189537048},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5621854066848755},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5582759380340576},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5261844396591187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47759413719177246},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4662908911705017},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4653393030166626},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.44105952978134155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.421084463596344},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32058799266815186},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21105757355690002},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06528100371360779}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6929926872253418},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6636080741882324},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.649129331111908},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6037306189537048},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5621854066848755},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5582759380340576},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5261844396591187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47759413719177246},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4662908911705017},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4653393030166626},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44105952978134155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.421084463596344},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32058799266815186},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21105757355690002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06528100371360779},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","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":3,"locations":[{"id":"doi:10.3390/sym13071162","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13071162","pdf_url":"https://www.mdpi.com/2073-8994/13/7/1162/pdf?version=1624936589","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:6f7d747ddd24401da3825bbe2929c1d5","is_oa":true,"landing_page_url":"https://doaj.org/article/6f7d747ddd24401da3825bbe2929c1d5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 13, Iss 7, p 1162 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/7/1162/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13071162","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13071162","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13071162","pdf_url":"https://www.mdpi.com/2073-8994/13/7/1162/pdf?version=1624936589","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3177400438.pdf"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W576148093","https://openalex.org/W1129295489","https://openalex.org/W1971939073","https://openalex.org/W1972417972","https://openalex.org/W1982246852","https://openalex.org/W1998140106","https://openalex.org/W2034154257","https://openalex.org/W2048141263","https://openalex.org/W2048193077","https://openalex.org/W2048632019","https://openalex.org/W2049193681","https://openalex.org/W2054711601","https://openalex.org/W2054920001","https://openalex.org/W2055308255","https://openalex.org/W2062834141","https://openalex.org/W2086281390","https://openalex.org/W2091326168","https://openalex.org/W2099981000","https://openalex.org/W2100150950","https://openalex.org/W2102762937","https://openalex.org/W2293874761","https://openalex.org/W2333931590","https://openalex.org/W2395900292","https://openalex.org/W2414374816","https://openalex.org/W2483406971","https://openalex.org/W2568446706","https://openalex.org/W2580309451","https://openalex.org/W2762568285","https://openalex.org/W2939885020","https://openalex.org/W2947629453","https://openalex.org/W3034342335","https://openalex.org/W4233832035","https://openalex.org/W6627067467","https://openalex.org/W6645806630","https://openalex.org/W6659253634","https://openalex.org/W6662642550","https://openalex.org/W6697053168","https://openalex.org/W6702832082","https://openalex.org/W6761403443"],"related_works":["https://openalex.org/W2045049461","https://openalex.org/W1978893398","https://openalex.org/W2201908702","https://openalex.org/W4381094582","https://openalex.org/W2369625323","https://openalex.org/W2364579609","https://openalex.org/W4403621310","https://openalex.org/W2046588156","https://openalex.org/W2801670489","https://openalex.org/W3046383859"],"abstract_inverted_index":{"Symmetries":[0],"are":[1,13,93],"important":[2],"in":[3,11,33],"studying":[4],"the":[5,34,61,73,84,87,98,101,110,117,120],"dynamics":[6],"of":[7,44,86,100,122,124,148],"physical":[8],"systems":[9],"which":[10],"turn":[12],"converted":[14],"to":[15,138],"solve":[16],"equations.":[17],"Jarratt\u2019s":[18],"method":[19],"and":[20,145],"its":[21,139],"variants":[22],"have":[23,57],"been":[24,58],"used":[25,133],"extensively":[26],"for":[27,49],"this":[28,152],"purpose.":[29],"That":[30],"is":[31,42,127],"why":[32],"present":[35],"study,":[36],"a":[37],"unified":[38],"local":[39],"convergence":[40],"analysis":[41],"developed":[43],"higher":[45],"order":[46,68,112],"Jarratt-type":[47],"schemes":[48,56,126],"equations":[50],"given":[51],"on":[52,60,72,83,116,134],"Banach":[53],"space.":[54],"Such":[55],"studied":[59],"multidimensional":[62],"Euclidean":[63],"space":[64],"provided":[65],"that":[66,89],"high":[67],"derivatives":[69],"(not":[70],"appearing":[71],"schemes)":[74],"exist.":[75],"In":[76],"addition,":[77],"no":[78],"errors":[79],"estimates":[80],"or":[81],"results":[82],"uniqueness":[85],"solution":[88],"can":[90,131],"be":[91,132],"computed":[92],"given.":[94],"These":[95],"problems":[96,107],"restrict":[97],"applicability":[99,123],"methods.":[102],"We":[103],"address":[104],"all":[105],"these":[106],"by":[108],"using":[109],"first":[111],"derivative":[113],"(appearing":[114],"only":[115],"schemes).":[118],"Hence,":[119],"region":[121],"existing":[125],"enlarged.":[128],"Our":[129],"technique":[130],"other":[135,146],"methods":[136],"due":[137],"generality.":[140],"Numerical":[141],"experiments":[142],"from":[143],"chemistry":[144],"disciplines":[147],"applied":[149],"sciences":[150],"complete":[151],"study.":[153]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}
