{"id":"https://openalex.org/W2018183327","doi":"https://doi.org/10.1007/s11075-014-9827-y","title":"Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation","display_name":"Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2018183327","doi":"https://doi.org/10.1007/s11075-014-9827-y","mag":"2018183327"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-014-9827-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9827-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5108575953","display_name":"Huiya Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiya Dai","raw_affiliation_strings":["College of Science, Henan University of Technology, Zhengzhou, 450001, People\u2019s Republic of China","School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, People\u2019s Republic of China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Henan University of Technology, Zhengzhou, 450001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I36152291"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, People\u2019s Republic of China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074504664","display_name":"Leilei Wei","orcid":"https://orcid.org/0000-0003-1688-7032"},"institutions":[{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Leilei Wei","raw_affiliation_strings":["College of Science, Henan University of Technology, Zhengzhou, 450001, People\u2019s Republic of China","College of Science, Henan University of Technology, Zhengzhou, 450001, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Henan University of Technology, Zhengzhou, 450001, People\u2019s Republic of China","institution_ids":["https://openalex.org/I36152291"]},{"raw_affiliation_string":"College of Science, Henan University of Technology, Zhengzhou, 450001, People's Republic of China","institution_ids":["https://openalex.org/I36152291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014109013","display_name":"Xindong Zhang","orcid":"https://orcid.org/0000-0002-9879-8019"},"institutions":[{"id":"https://openalex.org/I1334729051","display_name":"Xinjiang Normal University","ror":"https://ror.org/00ndrvk93","country_code":"CN","type":"education","lineage":["https://openalex.org/I1334729051"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xindong Zhang","raw_affiliation_strings":["College of Mathematics Sciences, Xinjiang Normal University, Urumqi, 830054, People\u2019s Republic of China","College of Mathematics Sciences, Xinjiang Normal University, Urumqi, 830054, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics Sciences, Xinjiang Normal University, Urumqi, 830054, People\u2019s Republic of China","institution_ids":["https://openalex.org/I1334729051"]},{"raw_affiliation_string":"College of Mathematics Sciences, Xinjiang Normal University, Urumqi, 830054, People's Republic of China","institution_ids":["https://openalex.org/I1334729051"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074504664"],"corresponding_institution_ids":["https://openalex.org/I36152291"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.6966,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.70228067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"67","issue":"4","first_page":"845","last_page":"862"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8513492941856384},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.766810417175293},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5618196725845337},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5618076920509338},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5434028506278992},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.48223671317100525},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.46044883131980896},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.4377601146697998},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43573129177093506},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4106065034866333},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39901575446128845},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32547158002853394},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2991361916065216},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07254919409751892},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06325256824493408}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8513492941856384},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.766810417175293},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5618196725845337},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5618076920509338},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5434028506278992},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.48223671317100525},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.46044883131980896},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.4377601146697998},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43573129177093506},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4106065034866333},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39901575446128845},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32547158002853394},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2991361916065216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07254919409751892},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06325256824493408},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-014-9827-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9827-y","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1535264379","https://openalex.org/W1966258563","https://openalex.org/W1969312973","https://openalex.org/W1973950856","https://openalex.org/W1986208932","https://openalex.org/W1998214447","https://openalex.org/W2000659785","https://openalex.org/W2008474712","https://openalex.org/W2012938047","https://openalex.org/W2013855261","https://openalex.org/W2020428199","https://openalex.org/W2022691550","https://openalex.org/W2023065763","https://openalex.org/W2024056085","https://openalex.org/W2026206176","https://openalex.org/W2032612395","https://openalex.org/W2047594597","https://openalex.org/W2067855936","https://openalex.org/W2069036386","https://openalex.org/W2083046996","https://openalex.org/W2084535841","https://openalex.org/W2085961649","https://openalex.org/W2092912961","https://openalex.org/W2104736025","https://openalex.org/W2116024271","https://openalex.org/W2116987651","https://openalex.org/W2165076033","https://openalex.org/W2732661672"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W1965109456","https://openalex.org/W2082446734","https://openalex.org/W4313560640","https://openalex.org/W2244225468","https://openalex.org/W2120874885","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W3136108301","https://openalex.org/W2040975642"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}