{"id":"https://openalex.org/W3046009912","doi":"https://doi.org/10.1007/s10444-020-09808-9","title":"Spectral collocation method for nonlinear Caputo fractional differential system","display_name":"Spectral collocation method for nonlinear Caputo fractional differential system","publication_year":2020,"publication_date":"2020-07-29","ids":{"openalex":"https://openalex.org/W3046009912","doi":"https://doi.org/10.1007/s10444-020-09808-9","mag":"3046009912"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-020-09808-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09808-9","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5101829833","display_name":"Zhendong Gu","orcid":"https://orcid.org/0000-0002-5962-2344"},"institutions":[{"id":"https://openalex.org/I4210149618","display_name":"Guangdong University of Finance","ror":"https://ror.org/04grzdh47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210149618"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhendong Gu","raw_affiliation_strings":["School of Financial Mathematics and Statistic, Guangdong University of Finance, Guangzhou, 510521, China"],"raw_orcid":"https://orcid.org/0000-0002-5962-2344","affiliations":[{"raw_affiliation_string":"School of Financial Mathematics and Statistic, Guangdong University of Finance, Guangzhou, 510521, China","institution_ids":["https://openalex.org/I4210149618"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101829833"],"corresponding_institution_ids":["https://openalex.org/I4210149618"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0633,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41384265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"46","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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":0.9961000084877014,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9937999844551086,"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":0.8027126789093018},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.7059513330459595},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.7008956074714661},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6921619772911072},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6859451532363892},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5789794325828552},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5695017576217651},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5246272683143616},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5169233679771423},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4814697802066803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.454863965511322},{"id":"https://openalex.org/keywords/spectral-analysis","display_name":"Spectral analysis","score":0.4473761320114136},{"id":"https://openalex.org/keywords/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.41191691160202026},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.39170289039611816},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.19921579957008362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10309624671936035}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8027126789093018},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.7059513330459595},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.7008956074714661},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6921619772911072},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6859451532363892},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5789794325828552},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5695017576217651},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5246272683143616},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5169233679771423},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4814697802066803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.454863965511322},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.4473761320114136},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.41191691160202026},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.39170289039611816},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.19921579957008362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10309624671936035},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-020-09808-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09808-9","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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":43,"referenced_works":["https://openalex.org/W1509146820","https://openalex.org/W1567668233","https://openalex.org/W1644929731","https://openalex.org/W1969312973","https://openalex.org/W1975670568","https://openalex.org/W1977397014","https://openalex.org/W1992210319","https://openalex.org/W2030146312","https://openalex.org/W2043080303","https://openalex.org/W2043939547","https://openalex.org/W2045882715","https://openalex.org/W2048805000","https://openalex.org/W2052623210","https://openalex.org/W2053444116","https://openalex.org/W2054862628","https://openalex.org/W2059042028","https://openalex.org/W2065254635","https://openalex.org/W2067182854","https://openalex.org/W2069610362","https://openalex.org/W2080928512","https://openalex.org/W2084039604","https://openalex.org/W2093685032","https://openalex.org/W2107162131","https://openalex.org/W2125565379","https://openalex.org/W2142758723","https://openalex.org/W2149522752","https://openalex.org/W2161397260","https://openalex.org/W2161647116","https://openalex.org/W2215249091","https://openalex.org/W2510800138","https://openalex.org/W2613163804","https://openalex.org/W2770593113","https://openalex.org/W2778387726","https://openalex.org/W2807089330","https://openalex.org/W2900293207","https://openalex.org/W2915864544","https://openalex.org/W2946510029","https://openalex.org/W2961132381","https://openalex.org/W2963541513","https://openalex.org/W2963655722","https://openalex.org/W2966272644","https://openalex.org/W4247953052","https://openalex.org/W4253062931"],"related_works":["https://openalex.org/W2791210196","https://openalex.org/W4255016916","https://openalex.org/W2078318892","https://openalex.org/W2111003632","https://openalex.org/W2889856026","https://openalex.org/W1987365920","https://openalex.org/W1989122168","https://openalex.org/W2000247808","https://openalex.org/W2384941625","https://openalex.org/W2060099884"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
