{"id":"https://openalex.org/W3126218573","doi":"https://doi.org/10.1080/00207160.2021.1883594","title":"A new fixed point iteration method for nonlinear third-order BVPs","display_name":"A new fixed point iteration method for nonlinear third-order BVPs","publication_year":2021,"publication_date":"2021-02-02","ids":{"openalex":"https://openalex.org/W3126218573","doi":"https://doi.org/10.1080/00207160.2021.1883594","mag":"3126218573"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2021.1883594","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1883594","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5109849624","display_name":"Sami Khuri","orcid":null},"institutions":[{"id":"https://openalex.org/I199440890","display_name":"American University of Sharjah","ror":"https://ror.org/001g2fj96","country_code":"AE","type":"education","lineage":["https://openalex.org/I199440890"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"S. A. Khuri","raw_affiliation_strings":["Department of Mathematics & Statistics, College of Arts & Sciences, American University of Sharjah, Sharjah, United Arab Emirates"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, College of Arts & Sciences, American University of Sharjah, Sharjah, United Arab Emirates","institution_ids":["https://openalex.org/I199440890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069569930","display_name":"Issam Louhichi","orcid":"https://orcid.org/0000-0002-3481-9212"},"institutions":[{"id":"https://openalex.org/I199440890","display_name":"American University of Sharjah","ror":"https://ror.org/001g2fj96","country_code":"AE","type":"education","lineage":["https://openalex.org/I199440890"]}],"countries":["AE"],"is_corresponding":true,"raw_author_name":"I. Louhichi","raw_affiliation_strings":["Department of Mathematics & Statistics, College of Arts & Sciences, American University of Sharjah, Sharjah, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0002-3481-9212","affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, College of Arts & Sciences, American University of Sharjah, Sharjah, United Arab Emirates","institution_ids":["https://openalex.org/I199440890"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069569930"],"corresponding_institution_ids":["https://openalex.org/I199440890"],"apc_list":null,"apc_paid":null,"fwci":0.8168,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.6992535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"98","issue":"11","first_page":"2220","last_page":"2232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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":0.9997000098228455,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9991999864578247,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9897000193595886,"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":0.7196723222732544},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6356698274612427},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.560781717300415},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5268921852111816},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5265769362449646},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5142499804496765},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4779201149940491},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47093501687049866},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4641987085342407},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43942078948020935},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42759114503860474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.269744873046875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20153439044952393},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.06253549456596375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7196723222732544},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6356698274612427},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.560781717300415},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5268921852111816},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5265769362449646},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5142499804496765},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4779201149940491},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47093501687049866},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4641987085342407},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43942078948020935},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42759114503860474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.269744873046875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20153439044952393},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.06253549456596375},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2021.1883594","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1883594","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1851611276","https://openalex.org/W1969145744","https://openalex.org/W2008914565","https://openalex.org/W2017926338","https://openalex.org/W2037912596","https://openalex.org/W2039831583","https://openalex.org/W2045974522","https://openalex.org/W2057925910","https://openalex.org/W2108059751","https://openalex.org/W2170742219","https://openalex.org/W2301299391","https://openalex.org/W2335127998","https://openalex.org/W2358404870","https://openalex.org/W2753085900","https://openalex.org/W2790814343","https://openalex.org/W4238966685"],"related_works":["https://openalex.org/W3194588123","https://openalex.org/W4308900592","https://openalex.org/W2351377961","https://openalex.org/W1942228078","https://openalex.org/W2086942802","https://openalex.org/W4385270631","https://openalex.org/W2046073294","https://openalex.org/W2170408898","https://openalex.org/W4389741222","https://openalex.org/W2164136545"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,143],"shall":[4,129,144],"present":[5],"a":[6,25,59],"novel":[7],"approach":[8],"based":[9,108],"on":[10,109],"embedding":[11],"Green's":[12,43],"function":[13,44],"into":[14],"Ishikawa":[15,50],"fixed":[16,51],"point":[17,52],"iterative":[18,53,61,77,113,119],"procedure":[19],"for":[20],"the":[21,48,72,83,86,89,93,98,118,134,150,153,163],"numerical":[22,127,154],"solution":[23],"of":[24,28,32,42,65,75,85,100,102,117,126],"broad":[26],"class":[27],"boundary":[29],"value":[30],"problems":[31],"third":[33],"order.":[34],"A":[35,124],"linear":[36],"integral":[37],"operator":[38],"expressed":[39],"in":[40,82,162],"terms":[41],"is":[45,55,69],"constructed,":[46],"then":[47],"well-known":[49],"scheme":[54],"applied":[56],"to":[57,70,132],"obtain":[58],"new":[60],"scheme.":[62],"The":[63],"aim":[64],"our":[66,146],"alternative":[67],"strategy":[68,95],"overcome":[71],"major":[73],"deficiency":[74],"other":[76,103,158],"schemes":[78],"that":[79,106,160],"usually":[80],"result":[81],"deterioration":[84],"error":[87],"as":[88],"domain":[90],"increases.":[91],"Furthermore":[92],"proposed":[94],"will":[96],"improve":[97],"rate":[99],"convergence":[101],"existing":[104],"methods":[105,159],"are":[107],"Picard's":[110],"and":[111,136,140,152],"Mann's":[112],"schemes.":[114],"Convergence":[115],"results":[116,147],"algorithm":[120],"have":[121],"been":[122],"proved.":[123],"number":[125],"examples":[128],"be":[130],"solved":[131],"illustrate":[133],"method":[135],"demonstrate":[137],"its":[138],"reliability":[139],"accuracy.":[141],"Moreover,":[142],"compare":[145],"with":[148],"both":[149],"analytical":[151],"solutions":[155],"obtained":[156],"by":[157],"exist":[161],"literature.":[164]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
