{"id":"https://openalex.org/W2013668911","doi":"https://doi.org/10.1007/s11075-010-9393-x","title":"Numerical approximations and solution techniques for the space-time Riesz\u2013Caputo fractional advection-diffusion equation","display_name":"Numerical approximations and solution techniques for the space-time Riesz\u2013Caputo fractional advection-diffusion equation","publication_year":2010,"publication_date":"2010-05-18","ids":{"openalex":"https://openalex.org/W2013668911","doi":"https://doi.org/10.1007/s11075-010-9393-x","mag":"2013668911"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-010-9393-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-010-9393-x","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/A5113840808","display_name":"Shujun Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shujun Shen","raw_affiliation_strings":["School of Mathematical Sciences, HuaQiao University, Quanzhou, Fujian, China","School of Mathematical Sciences, Huaqiao University, Quanzhou, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, HuaQiao University, Quanzhou, Fujian, China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"School of Mathematical Sciences, Huaqiao University, Quanzhou, China#TAB#","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073778062","display_name":"Fawang Liu","orcid":"https://orcid.org/0000-0003-1034-2349"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Fawang Liu","raw_affiliation_strings":["School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia","School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia Qld 4001"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia","institution_ids":["https://openalex.org/I160993911"]},{"raw_affiliation_string":"School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia Qld 4001","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061268303","display_name":"Vo Anh","orcid":"https://orcid.org/0000-0003-2463-2099"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Vo Anh","raw_affiliation_strings":["School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia","School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia Qld 4001"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, Qld. 4001, Australia","institution_ids":["https://openalex.org/I160993911"]},{"raw_affiliation_string":"School of Mathematical Sciences; Queensland University of Technology; Brisbane Australia Qld 4001","institution_ids":["https://openalex.org/I160993911"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073778062"],"corresponding_institution_ids":["https://openalex.org/I160993911"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":5.7809,"has_fulltext":false,"cited_by_count":148,"citation_normalized_percentile":{"value":0.96252411,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"56","issue":"3","first_page":"383","last_page":"403"},"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":0.9984999895095825,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9962000250816345,"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":0.869558572769165},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.6414477825164795},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5654625296592712},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.4436717629432678},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4401634931564331},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.430703341960907},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4238380491733551},{"id":"https://openalex.org/keywords/time-derivative","display_name":"Time derivative","score":0.4203309714794159},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.41630133986473083},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3518882989883423}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.869558572769165},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.6414477825164795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5654625296592712},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.4436717629432678},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4401634931564331},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.430703341960907},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4238380491733551},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.4203309714794159},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.41630133986473083},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3518882989883423},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-010-9393-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-010-9393-x","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"},{"id":"pmh:oai:researchbank.swinburne.edu.au:f2df8063-cecc-497c-868e-ea06b2a49916/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/446194","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerical Algorithms, Vol. 56, no. 3 (Mar 2011), pp. 383-403","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322182","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1509146820","https://openalex.org/W1530054495","https://openalex.org/W1593237387","https://openalex.org/W1660114984","https://openalex.org/W1972900338","https://openalex.org/W1978349032","https://openalex.org/W1988571032","https://openalex.org/W1998408104","https://openalex.org/W2009587056","https://openalex.org/W2022072871","https://openalex.org/W2032443585","https://openalex.org/W2033471049","https://openalex.org/W2036849170","https://openalex.org/W2042289689","https://openalex.org/W2054899953","https://openalex.org/W2064361774","https://openalex.org/W2073384693","https://openalex.org/W2077366558","https://openalex.org/W2087421943","https://openalex.org/W2088216803","https://openalex.org/W2098827267","https://openalex.org/W2105723279","https://openalex.org/W2107162131","https://openalex.org/W2111271983","https://openalex.org/W2123683503","https://openalex.org/W2127684492","https://openalex.org/W2142758723","https://openalex.org/W2165076033","https://openalex.org/W2732661672","https://openalex.org/W2787959293","https://openalex.org/W4253062931"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W1965041963","https://openalex.org/W2766044013","https://openalex.org/W2007426143","https://openalex.org/W56705272","https://openalex.org/W4213231742","https://openalex.org/W2384221708","https://openalex.org/W2920076344"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":13}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
