{"id":"https://openalex.org/W2517846572","doi":"https://doi.org/10.1007/s10444-016-9511-y","title":"A fractional spectral method with applications to some singular problems","display_name":"A fractional spectral method with applications to some singular problems","publication_year":2017,"publication_date":"2017-01-20","ids":{"openalex":"https://openalex.org/W2517846572","doi":"https://doi.org/10.1007/s10444-016-9511-y","mag":"2517846572"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-016-9511-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-016-9511-y","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/A5061630017","display_name":"Dianming Hou","orcid":"https://orcid.org/0000-0002-9001-8022"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dianming Hou","raw_affiliation_strings":["School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen, 361005, China","[Xiamen University]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen, 361005, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"[Xiamen University]","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069580279","display_name":"Chuanju Xu","orcid":"https://orcid.org/0000-0002-6689-329X"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chuanju Xu","raw_affiliation_strings":["School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen, 361005, China","[Xiamen University]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Fujian Provincial Key Laboratory of Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Xiamen, 361005, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"[Xiamen University]","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069580279"],"corresponding_institution_ids":["https://openalex.org/I191208505"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00559147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"43","issue":"5","first_page":"911","last_page":"944"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9262999892234802,"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":0.9262999892234802,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.04639999940991402,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.012000000104308128,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.7398147583007812},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.6022756099700928},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5940481424331665},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5239481925964355},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5192761421203613},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5102558135986328},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.510237455368042},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4949180483818054},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4667976498603821},{"id":"https://openalex.org/keywords/spectral-analysis","display_name":"Spectral analysis","score":0.4554559290409088},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1821824312210083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06356757879257202}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7398147583007812},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.6022756099700928},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5940481424331665},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5239481925964355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5192761421203613},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5102558135986328},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.510237455368042},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4949180483818054},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4667976498603821},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.4554559290409088},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1821824312210083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06356757879257202},{"id":"https://openalex.org/C32891209","wikidata":"https://www.wikidata.org/wiki/Q483666","display_name":"Spectroscopy","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-016-9511-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-016-9511-y","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":40,"referenced_works":["https://openalex.org/W1567668233","https://openalex.org/W1593505867","https://openalex.org/W1969446688","https://openalex.org/W1974971529","https://openalex.org/W1978349032","https://openalex.org/W1978958071","https://openalex.org/W1988494370","https://openalex.org/W2001203502","https://openalex.org/W2003347700","https://openalex.org/W2009963697","https://openalex.org/W2028224531","https://openalex.org/W2030146312","https://openalex.org/W2030874730","https://openalex.org/W2034651058","https://openalex.org/W2035253925","https://openalex.org/W2039707205","https://openalex.org/W2042923669","https://openalex.org/W2047136919","https://openalex.org/W2048805000","https://openalex.org/W2050924962","https://openalex.org/W2052623210","https://openalex.org/W2065254635","https://openalex.org/W2069755573","https://openalex.org/W2073689707","https://openalex.org/W2083955243","https://openalex.org/W2084795903","https://openalex.org/W2091740033","https://openalex.org/W2099111135","https://openalex.org/W2107145034","https://openalex.org/W2118288723","https://openalex.org/W2127769310","https://openalex.org/W2151015649","https://openalex.org/W2201436390","https://openalex.org/W2404351776","https://openalex.org/W2507089618","https://openalex.org/W4238792306","https://openalex.org/W4243056403","https://openalex.org/W4247953052","https://openalex.org/W4250501155","https://openalex.org/W4253937035"],"related_works":["https://openalex.org/W2492322792","https://openalex.org/W2962992335","https://openalex.org/W2575489637","https://openalex.org/W3029442548","https://openalex.org/W1983899570","https://openalex.org/W1999537434","https://openalex.org/W2124632199","https://openalex.org/W2742489936","https://openalex.org/W2965865735","https://openalex.org/W2510167999","https://openalex.org/W3091627458","https://openalex.org/W2518877560","https://openalex.org/W2590515081","https://openalex.org/W2994284983","https://openalex.org/W2736645392","https://openalex.org/W1974442659","https://openalex.org/W2181531605","https://openalex.org/W3041661128","https://openalex.org/W3125753718","https://openalex.org/W2895613201"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-09-16T00:00:00"}
