{"id":"https://openalex.org/W1687791782","doi":"https://doi.org/10.1007/s10915-015-0107-3","title":"A Galerkin Finite Element Method for a Class of Time\u2013Space Fractional Differential Equation with Nonsmooth Data","display_name":"A Galerkin Finite Element Method for a Class of Time\u2013Space Fractional Differential Equation with Nonsmooth Data","publication_year":2015,"publication_date":"2015-09-22","ids":{"openalex":"https://openalex.org/W1687791782","doi":"https://doi.org/10.1007/s10915-015-0107-3","mag":"1687791782"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-015-0107-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0107-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific 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/A5088367380","display_name":"Zhengang Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210102827","display_name":"Shanghai Customs College","ror":"https://ror.org/01agvej60","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210102827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhengang Zhao","raw_affiliation_strings":["Department of Fundamental Courses, Shanghai Customs College, Shanghai, 201204, China","Department of Fundamental Courses, Shanghai Customs College, Shanghai, China","Department of Fundamental Courses, Shanghai Customs College, Shanghai, China 201204#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-8982-692X","affiliations":[{"raw_affiliation_string":"Department of Fundamental Courses, Shanghai Customs College, Shanghai, 201204, China","institution_ids":["https://openalex.org/I4210102827"]},{"raw_affiliation_string":"Department of Fundamental Courses, Shanghai Customs College, Shanghai, China","institution_ids":["https://openalex.org/I4210102827"]},{"raw_affiliation_string":"Department of Fundamental Courses, Shanghai Customs College, Shanghai, China 201204#TAB#","institution_ids":["https://openalex.org/I4210102827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108741054","display_name":"Yunying Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I165859042","display_name":"Huaibei Normal University","ror":"https://ror.org/03ek23472","country_code":"CN","type":"education","lineage":["https://openalex.org/I165859042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunying Zheng","raw_affiliation_strings":["School of Mathematical Sciences, Huaibei Normal University, Huaibei, 235000, China","School of Mathematical Sciences, Huaibei Normal University, Huaibei, China","School of Mathematical Sciences, Huaibei Normal University, Huaibei, China 235000#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Huaibei Normal University, Huaibei, 235000, China","institution_ids":["https://openalex.org/I165859042"]},{"raw_affiliation_string":"School of Mathematical Sciences, Huaibei Normal University, Huaibei, China","institution_ids":["https://openalex.org/I165859042"]},{"raw_affiliation_string":"School of Mathematical Sciences, Huaibei Normal University, Huaibei, China 235000#TAB#","institution_ids":["https://openalex.org/I165859042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109142323","display_name":"Peng Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210156189","display_name":"Shanghai Dianji University","ror":"https://ror.org/055fene14","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210156189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peng Guo","raw_affiliation_strings":["Department of Mathematics and Physics, Shanghai DianJi University, Shanghai, 201306, China","Department of Mathematics and Physics, Shanghai DianJi University, Shanghai, China","Department of Mathematics and Physics, Shanghai DianJi University, Shanghai, China 201306#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Shanghai DianJi University, Shanghai, 201306, China","institution_ids":["https://openalex.org/I4210156189"]},{"raw_affiliation_string":"Department of Mathematics and Physics, Shanghai DianJi University, Shanghai, China","institution_ids":["https://openalex.org/I4210156189"]},{"raw_affiliation_string":"Department of Mathematics and Physics, Shanghai DianJi University, Shanghai, China 201306#TAB#","institution_ids":["https://openalex.org/I4210156189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088367380","https://openalex.org/A5108741054","https://openalex.org/A5109142323"],"corresponding_institution_ids":["https://openalex.org/I165859042","https://openalex.org/I4210102827","https://openalex.org/I4210156189"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.4468,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.64158951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"70","issue":"1","first_page":"386","last_page":"406"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9965999722480774,"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":0.8960137367248535},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6878341436386108},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6250530481338501},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5869073867797852},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5694486498832703},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5313119888305664},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5251811742782593},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5125441551208496},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.45962417125701904},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4274991750717163},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3729330897331238},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08829349279403687}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8960137367248535},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6878341436386108},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6250530481338501},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5869073867797852},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5694486498832703},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5313119888305664},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5251811742782593},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5125441551208496},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.45962417125701904},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4274991750717163},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3729330897331238},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08829349279403687},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-015-0107-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-015-0107-3","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8527773525","display_name":null,"funder_award_id":"number 11301333","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W577640155","https://openalex.org/W611121171","https://openalex.org/W902939226","https://openalex.org/W1492326914","https://openalex.org/W1584611818","https://openalex.org/W1966513244","https://openalex.org/W1981956153","https://openalex.org/W1994730550","https://openalex.org/W1995365764","https://openalex.org/W2004872575","https://openalex.org/W2014666630","https://openalex.org/W2019324632","https://openalex.org/W2024093795","https://openalex.org/W2025020152","https://openalex.org/W2026709951","https://openalex.org/W2031022806","https://openalex.org/W2032744100","https://openalex.org/W2048626366","https://openalex.org/W2049571296","https://openalex.org/W2063052480","https://openalex.org/W2083046996","https://openalex.org/W2083834253","https://openalex.org/W2083955243","https://openalex.org/W2084142728","https://openalex.org/W2085480009","https://openalex.org/W2089181747","https://openalex.org/W2104736025","https://openalex.org/W2107162131","https://openalex.org/W2122345489","https://openalex.org/W2127769310","https://openalex.org/W2161458168","https://openalex.org/W2163692138","https://openalex.org/W2182166735","https://openalex.org/W2221346478","https://openalex.org/W2297442058","https://openalex.org/W2732661672","https://openalex.org/W4249396326","https://openalex.org/W4289255049","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W2080994790","https://openalex.org/W4223973763","https://openalex.org/W1590663584","https://openalex.org/W4377300482","https://openalex.org/W2085547843","https://openalex.org/W4283775812","https://openalex.org/W2950878479","https://openalex.org/W2068742490","https://openalex.org/W2073256259","https://openalex.org/W2315717216"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}