{"id":"https://openalex.org/W2005999511","doi":"https://doi.org/10.1007/s11075-013-9784-x","title":"Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs","display_name":"Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs","publication_year":2013,"publication_date":"2013-11-01","ids":{"openalex":"https://openalex.org/W2005999511","doi":"https://doi.org/10.1007/s11075-013-9784-x","mag":"2005999511"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-013-9784-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9784-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5006450000","display_name":"Malik Zaka Ullah","orcid":"https://orcid.org/0000-0003-2944-0352"},"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":"Malik Zaka Ullah","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia","Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia 21589#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia 21589#TAB#","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042799498","display_name":"Fazlollah Soleymani","orcid":"https://orcid.org/0000-0002-6905-8951"},"institutions":[{"id":"https://openalex.org/I4210103813","display_name":"Islamic Azad University, Zahedan Branch","ror":"https://ror.org/01am3pw68","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210103813"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Fazlollah Soleymani","raw_affiliation_strings":["Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, Iran","\u200eDepartment of Mathematics\u200e, #R##N#\u200eZahedan Branch\u200e, \u200eIslamic Azad University\u200e, Zahedan\u200e, \u200eIran\u200e"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, Iran","institution_ids":["https://openalex.org/I4210103813"]},{"raw_affiliation_string":"\u200eDepartment of Mathematics\u200e, #R##N#\u200eZahedan Branch\u200e, \u200eIslamic Azad University\u200e, Zahedan\u200e, \u200eIran\u200e","institution_ids":["https://openalex.org/I4210103813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032529951","display_name":"A. S. Al-Fhaid","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":"A. S. Al-Fhaid","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia","Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia 21589#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia 21589#TAB#","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042799498"],"corresponding_institution_ids":["https://openalex.org/I4210103813"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.1739,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.95375025,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"67","issue":"1","first_page":"223","last_page":"242"},"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":0.9954000115394592,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7524171471595764},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7485727071762085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7422288656234741},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7413793206214905},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.645867109298706},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6263507604598999},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6060884594917297},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5880405902862549},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5822528004646301},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5560382008552551},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.5323958992958069},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.42995262145996094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35943639278411865},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28339022397994995},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23106476664543152},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2193414270877838},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0836201012134552}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7524171471595764},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7485727071762085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7422288656234741},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7413793206214905},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.645867109298706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6263507604598999},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6060884594917297},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5880405902862549},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5822528004646301},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5560382008552551},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5323958992958069},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.42995262145996094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35943639278411865},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28339022397994995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23106476664543152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2193414270877838},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0836201012134552},{"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/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},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-013-9784-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9784-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":20,"referenced_works":["https://openalex.org/W1976905195","https://openalex.org/W1986985575","https://openalex.org/W1992658852","https://openalex.org/W2011023522","https://openalex.org/W2021160159","https://openalex.org/W2024382394","https://openalex.org/W2032216059","https://openalex.org/W2036618116","https://openalex.org/W2038161960","https://openalex.org/W2041176477","https://openalex.org/W2048632019","https://openalex.org/W2049193681","https://openalex.org/W2074721415","https://openalex.org/W2090963365","https://openalex.org/W2128654942","https://openalex.org/W2131202427","https://openalex.org/W2337632615","https://openalex.org/W2734553454","https://openalex.org/W4242120102","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2378562963","https://openalex.org/W2375378023","https://openalex.org/W2350788688","https://openalex.org/W2039023896","https://openalex.org/W2083618095","https://openalex.org/W2741623878","https://openalex.org/W2028790718","https://openalex.org/W2353579944","https://openalex.org/W3197573213","https://openalex.org/W2103912232"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
