{"id":"https://openalex.org/W1997274606","doi":"https://doi.org/10.1016/s0096-3003(03)00729-x","title":"Adomian's decomposition method applied to systems of nonlinear algebraic equations","display_name":"Adomian's decomposition method applied to systems of nonlinear algebraic equations","publication_year":2003,"publication_date":"2003-09-11","ids":{"openalex":"https://openalex.org/W1997274606","doi":"https://doi.org/10.1016/s0096-3003(03)00729-x","mag":"1997274606"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(03)00729-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00729-x","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5102024977","display_name":"Do\u01e7an Kaya","orcid":"https://orcid.org/0000-0003-4773-1313"},"institutions":[{"id":"https://openalex.org/I143396566","display_name":"F\u0131rat University","ror":"https://ror.org/05teb7b63","country_code":"TR","type":"education","lineage":["https://openalex.org/I143396566"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Do\u011fan Kaya","raw_affiliation_strings":["Department of Mathematics , Firat University , Elazig, 23119, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Firat University , Elazig, 23119, Turkey","institution_ids":["https://openalex.org/I143396566"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069850068","display_name":"Salah M. El\u2010Sayed","orcid":"https://orcid.org/0000-0001-9885-313X"},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Salah M. El-Sayed","raw_affiliation_strings":["Department of Mathematics, Benha University, Benha 13518, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Benha University, Benha 13518, Egypt","institution_ids":["https://openalex.org/I207547235"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102024977"],"corresponding_institution_ids":["https://openalex.org/I143396566"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.11764706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"154","issue":"2","first_page":"487","last_page":"493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9969000220298767,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9952999949455261,"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/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.8711637258529663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6564191579818726},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.638062596321106},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5829759240150452},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5681268572807312},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.5680184960365295},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5535585284233093},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46700701117515564},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43214717507362366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38586360216140747},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.23996904492378235},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.13287904858589172},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11973199248313904}],"concepts":[{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.8711637258529663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6564191579818726},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.638062596321106},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5829759240150452},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5681268572807312},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.5680184960365295},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5535585284233093},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46700701117515564},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43214717507362366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38586360216140747},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.23996904492378235},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13287904858589172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11973199248313904},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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:10.1016/s0096-3003(03)00729-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00729-x","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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":23,"referenced_works":["https://openalex.org/W294519166","https://openalex.org/W1560556759","https://openalex.org/W1964233075","https://openalex.org/W1977770529","https://openalex.org/W1979449500","https://openalex.org/W1979966692","https://openalex.org/W1986824988","https://openalex.org/W2014165696","https://openalex.org/W2024972953","https://openalex.org/W2032492272","https://openalex.org/W2045441394","https://openalex.org/W2064075186","https://openalex.org/W2064381120","https://openalex.org/W2076821713","https://openalex.org/W2090963365","https://openalex.org/W2117853789","https://openalex.org/W2122123126","https://openalex.org/W2478091498","https://openalex.org/W2971112550","https://openalex.org/W4210687930","https://openalex.org/W4299512035","https://openalex.org/W4378373542","https://openalex.org/W6677569155"],"related_works":["https://openalex.org/W2089904505","https://openalex.org/W2184238946","https://openalex.org/W2089018597","https://openalex.org/W1838417290","https://openalex.org/W1977939012","https://openalex.org/W811173482","https://openalex.org/W2028789925","https://openalex.org/W2373977562","https://openalex.org/W2618003419","https://openalex.org/W3142989576"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
