{"id":"https://openalex.org/W2041202720","doi":"https://doi.org/10.1016/j.jcp.2014.03.020","title":"An unconditionally stable compact ADI method for three-dimensional time-fractional convection\u2013diffusion equation","display_name":"An unconditionally stable compact ADI method for three-dimensional time-fractional convection\u2013diffusion equation","publication_year":2014,"publication_date":"2014-03-22","ids":{"openalex":"https://openalex.org/W2041202720","doi":"https://doi.org/10.1016/j.jcp.2014.03.020","mag":"2041202720"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2014.03.020","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2014.03.020","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","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/A5109412470","display_name":"Shuying Zhai","orcid":"https://orcid.org/0009-0005-0301-4170"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuying Zhai","raw_affiliation_strings":["College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028639093","display_name":"Xinlong Feng","orcid":"https://orcid.org/0000-0002-5354-6424"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinlong Feng","raw_affiliation_strings":["College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100457891","display_name":"Yinnian He","orcid":"https://orcid.org/0000-0003-3402-8493"},"institutions":[{"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"]},{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinnian He","raw_affiliation_strings":["College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, PR China","School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, PR China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, PR China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, PR China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an 710049, PR China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028639093"],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":5.2675,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.95374125,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"269","issue":null,"first_page":"138","last_page":"155"},"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":0.9973999857902527,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9871000051498413,"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/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.8229351043701172},{"id":"https://openalex.org/keywords/compact-finite-difference","display_name":"Compact finite difference","score":0.8179547786712646},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"Alternating direction implicit method","score":0.7763466835021973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.772208571434021},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5940186977386475},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.5640864968299866},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5071508884429932},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.4862159788608551},{"id":"https://openalex.org/keywords/time-derivative","display_name":"Time derivative","score":0.4827548861503601},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4821833670139313},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47321978211402893},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.46894049644470215},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4679858684539795},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.462091863155365},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.42309463024139404},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4210268259048462},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15978533029556274},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09613800048828125},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0706682801246643}],"concepts":[{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.8229351043701172},{"id":"https://openalex.org/C2780829570","wikidata":"https://www.wikidata.org/wiki/Q25113057","display_name":"Compact finite difference","level":3,"score":0.8179547786712646},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.7763466835021973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.772208571434021},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5940186977386475},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5640864968299866},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5071508884429932},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.4862159788608551},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.4827548861503601},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4821833670139313},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47321978211402893},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.46894049644470215},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4679858684539795},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.462091863155365},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.42309463024139404},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4210268259048462},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15978533029556274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09613800048828125},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0706682801246643},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/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/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jcp.2014.03.020","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2014.03.020","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","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":45,"referenced_works":["https://openalex.org/W1489022300","https://openalex.org/W1504271241","https://openalex.org/W1528987510","https://openalex.org/W1965901681","https://openalex.org/W1972900338","https://openalex.org/W1975605247","https://openalex.org/W1977696410","https://openalex.org/W1980154613","https://openalex.org/W1984091802","https://openalex.org/W2000990426","https://openalex.org/W2001031344","https://openalex.org/W2004197282","https://openalex.org/W2004872575","https://openalex.org/W2009239825","https://openalex.org/W2016755336","https://openalex.org/W2025020152","https://openalex.org/W2030146312","https://openalex.org/W2031166205","https://openalex.org/W2033471049","https://openalex.org/W2035143701","https://openalex.org/W2038588805","https://openalex.org/W2041428283","https://openalex.org/W2047594597","https://openalex.org/W2056061743","https://openalex.org/W2057206818","https://openalex.org/W2083834253","https://openalex.org/W2083955243","https://openalex.org/W2091740033","https://openalex.org/W2092718516","https://openalex.org/W2092912961","https://openalex.org/W2111271983","https://openalex.org/W2119671522","https://openalex.org/W2165076033","https://openalex.org/W2187304364","https://openalex.org/W2319377454","https://openalex.org/W2332610542","https://openalex.org/W2787959293","https://openalex.org/W2965089621","https://openalex.org/W2970337548","https://openalex.org/W4230205099","https://openalex.org/W4250515647","https://openalex.org/W4253541821","https://openalex.org/W4255895408","https://openalex.org/W4361794280","https://openalex.org/W6629369137"],"related_works":["https://openalex.org/W2111259928","https://openalex.org/W2170622905","https://openalex.org/W2051559783","https://openalex.org/W2043555141","https://openalex.org/W2772039735","https://openalex.org/W1975605247","https://openalex.org/W4309885836","https://openalex.org/W2060187899","https://openalex.org/W2345700828","https://openalex.org/W2168100100"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
