{"id":"https://openalex.org/W1981889146","doi":"https://doi.org/10.1007/s00607-005-0152-0","title":"Computation of All Polynomial Solutions of a Class of Nonlinear Differential Equations","display_name":"Computation of All Polynomial Solutions of a Class of Nonlinear Differential Equations","publication_year":2006,"publication_date":"2006-01-30","ids":{"openalex":"https://openalex.org/W1981889146","doi":"https://doi.org/10.1007/s00607-005-0152-0","mag":"1981889146"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-005-0152-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-005-0152-0","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5059743907","display_name":"Djilali Behloul","orcid":"https://orcid.org/0000-0003-4631-5529"},"institutions":[{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]},{"id":"https://openalex.org/I192268740","display_name":"University of Algiers Benyoucef Benkhedda","ror":"https://ror.org/011r6gp69","country_code":"DZ","type":"education","lineage":["https://openalex.org/I192268740"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"D. Behloul","raw_affiliation_strings":["Facult\u00e9 G\u00e9nie Electrique D\u00e9partement Informatique, USTHB, BP32, El Alia, Bab Ezzouar, 16111, Algiers, Algeria","Facult\u00e9 G\u00e9nie Electrique, D\u00e9partement Informatique, USTHB, Algiers, Algeria#TAB#"],"affiliations":[{"raw_affiliation_string":"Facult\u00e9 G\u00e9nie Electrique D\u00e9partement Informatique, USTHB, BP32, El Alia, Bab Ezzouar, 16111, Algiers, Algeria","institution_ids":["https://openalex.org/I157169809"]},{"raw_affiliation_string":"Facult\u00e9 G\u00e9nie Electrique, D\u00e9partement Informatique, USTHB, Algiers, Algeria#TAB#","institution_ids":["https://openalex.org/I192268740","https://openalex.org/I157169809"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101970654","display_name":"Sui Sun Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I59460038","display_name":"Chung Hua University","ror":"https://ror.org/01yzz0f51","country_code":"TW","type":"education","lineage":["https://openalex.org/I59460038"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"S. S. Cheng","raw_affiliation_strings":["Department of Mathematics, Hua University, Hsinchu, 30043, Taiwan , R. O. China","Department of Mathematics, Hua University, Hsinchu, Taiwan, R.O. China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hua University, Hsinchu, 30043, Taiwan , R. O. China","institution_ids":["https://openalex.org/I59460038"]},{"raw_affiliation_string":"Department of Mathematics, Hua University, Hsinchu, Taiwan, R.O. China#TAB#","institution_ids":["https://openalex.org/I59460038"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059743907"],"corresponding_institution_ids":["https://openalex.org/I157169809","https://openalex.org/I192268740"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.338,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.58750168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"77","issue":"2","first_page":"163","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9797999858856201,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9797999858856201,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9782000184059143,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9775999784469604,"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/maple","display_name":"Maple","score":0.8131019473075867},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7311965823173523},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6741170883178711},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6306998133659363},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5783672332763672},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5727587342262268},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5348939299583435},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5330639481544495},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41438475251197815},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3716393709182739},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3429926633834839},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1587793529033661},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06800380349159241},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04758378863334656}],"concepts":[{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.8131019473075867},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7311965823173523},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6741170883178711},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6306998133659363},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5783672332763672},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5727587342262268},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5348939299583435},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5330639481544495},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41438475251197815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3716393709182739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3429926633834839},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1587793529033661},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06800380349159241},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04758378863334656},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"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/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/s00607-005-0152-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-005-0152-0","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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":8,"referenced_works":["https://openalex.org/W1984286740","https://openalex.org/W1998550908","https://openalex.org/W2006334502","https://openalex.org/W2009197023","https://openalex.org/W2047067131","https://openalex.org/W2098067519","https://openalex.org/W2127397067","https://openalex.org/W2162461364"],"related_works":["https://openalex.org/W3008027610","https://openalex.org/W2619973341","https://openalex.org/W2210259036","https://openalex.org/W2019433297","https://openalex.org/W2970670716","https://openalex.org/W4249171332","https://openalex.org/W2522483390","https://openalex.org/W650945805","https://openalex.org/W2966474385","https://openalex.org/W2112248480"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}