{“id”:“https://openalex.org/W4323922895“,”doi“:”https://doi.org/10.1016/j.cam.2023.115179“,”title“:“耦合变系数时间\u2013空间分数阶扩散方程有限体积法的非均匀L1型格式”,“display_name”:“耦合可变系数时间\u 2013空间分数扩散方程有限容积法的非一致L1型方案”,“publication_year”:2023,“publication_date“:”2023-09-01“,”ids“:{”openalex“:”https://openalex.org/W4323922895“,”doi“:”https://doi.org/10.1016/j.cam.2023.115179“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1016/j.cam.2023.115179“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S165473669“,”display_name“:”计算与应用数学杂志“,”issn_l“:”0377-0427“,”isn“:[”0377-01427“、”1879-1778“],”is_oa“:false,”is-in_doaj“:false,”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,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“],pository_has_fulltext“:false},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5082025122“,”display_name“:”Hui Yu“,”orcid“:”https://orcid.org/0000-0002-6205-3111},“机构”:[{“id”:https://openalex.org/I92403157“,”display_name“:”北京科技大学“,”ror“:”https://ror.org/02egmk993“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I92403157“]}],”国家“:[”CN“],”is_corresponding“:false,”raw_author_name“:”Hui Yu“,”rau_affiliation_strings“:[“北京科技大学数学物理学院,北京,100083,中国”]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5073778062“,”display_name“:”Fawang Liu“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I80947539“,”display_name“:”福州大学“,”ror“:”https://ror.org/011xvna82“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I80947539“]},{”id“:”https://openalex.org/I160993911“,”display_name“:”昆士兰理工大学“,”ror“:”https://ror.org/03pnv4752“,”country_code“:”AU“,”type“:“教育”,”世系“:[”https://openalex.org/I160993911“]}],”countries“:[”AU“,”CN“],”is_corresponding“:true,”raw_author_name“:”Fawang Liu“,”raw_affiliation_strings“:”中国福州大学数学与计算机科学学院“,”昆士兰理工大学数学科学学院,澳大利亚昆士兰州4001布里斯班2434号邮政信箱“]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5028976297“,”display_name“:”Mingxia Li“,”orcid“:”https://orcid.org/0000-0001-7329-321X},“机构”:[{“id”:https://openalex.org/I3125743391“,”display_name“:”中国地质大学(北京)“,”ror“:”https://ror.org/04q6c7p66“,”country_code“:”CN“,”type“:“教育”,”世系“:[”https://openalex.org/I3125743391“]}],”countries“:[”CN“],”is_corresponding“:false,”raw_author_name“:”Mingxia Li“,”rau_affiliation_strings“:【”中国地质大学数学物理学院,北京,100083“】},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5061268303“,”display_name“:”Vo Anh“,”orcid“:”https://orcid.org/0000-0003-2463-2099},“机构”:[{“id”:https://openalex.org/I57093077“,”display_name“:”斯温伯恩理工大学“,”ror“:”https://ror.org/031rekg67“,”country_code“:”AU“,”type“:“教育”,”世系“:[”https://openalex.org/I57093077“]}],”国家“:[”AU“],”is_corresponding“:false,”raw_author_name“:”Vo V.Anh“,”raw _affiliation_strings“:[“斯温伯恩理工大学科学、工程与技术学院,澳大利亚维多利亚3122州霍桑市218号邮政信箱”]}]“countries_distict_count”:2,“institutions_disticent_count”:5,“corresponding_author_ids”:[”https://openalex.org/A5073778062“],”对应的机构ID“:[”https://openalex.org/I80947539","https://openalex.org/I160993911“],”apc_list“:{”value“:3040,”currency“:”USD“,”value_USD“:30四十,”provenance“:”doaj“},”apc _payed“:”{“value”:3040“,”curency“:”美元“,”value_USD”:30四十“,”province“:”doaj“{全文”:false,“cited_by_count”:0,“citecd_by_percentile_year”:{“min”:0“,”max“:78},“biblio”:{“volume”:“429”,“issue”:null,“first_page”:“115179”,“last_page”:“115 179”},“is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10288“,”“display_name”:“异常扩散建模与分析”,“score”:1.0,“subfield”:{“id”:“https://openalex.org/subfields/2611“,”display_name“:”建模与仿真“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T10288“,”“display_name”:“异常扩散建模与分析”,“score”:1.0,“subfield”:{“id”:“https://openalex.org/subfields/2611“,”display_name“:”建模与仿真“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12727“,”“display_name”:“奇摄动问题的数值方法”,“score”:0.9978,“subfield”:{“id”:“https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10541“,”“display_name”:“分数阶微分方程的理论与应用”,“score”:0.9959,“subfield”:{“id”:“https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/time-fractional-diffusion等式“,”display_name“:”时间分数扩散方程“,”score“:0.6229797},{”id“:”https://openalex.org/keywords/fractional-derivatives网站“,”display_name“:”分数导数“,”score“:0.532587},{”id“:”https://openalex.org/keywords/分数微分方程“,”display_name“:”分数微分方程“,”score“:0.512715},{”id“:”https://openalex.org/keywords/converction-diffusion-problems“,”display_name“:”对流扩散问题“,”score“:0.511598},{”id“:”https://openalex.org/keywords/反应扩散方程“,”display_name“:”反应扩散方程“,”score“:0.502457}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.9162929},{”id“:”https://openalex.org/C73000952,“wikidata”:https://www.wikidata.org/wiki/Q17007827“,”display_name“:”Discretization“,”level“:2,”score“:0.66750145},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.65532535},{”id“:”https://openalex.org/C154249771,“wikidata”:https://www.wikidata.org/wiki/Q1339058“,”display_name“:”分数微积分“,”level“:2,”score“:0.65117705},{”id“:”https://openalex.org/C17685861,“wikidata”:https://www.wikidata.org/wiki/Q6960532“,”display_name“:”时间导数“,”level“:2,”score“:0.52855504},{”id“:”https://openalex.org/C2777299769,“wikidata”:https://www.wikidata.org/wiki/Q3707858“,”display_name“:”Type(biology)“,”level“:2,”score“:0.5282718},{”id“:”https://openalex.org/C34388435,“wikidata”:https://www.wikidata.org/wiki/Q2267362“,”display_name“:”绑定函数“,”level“:2,”score“:0.5145461},{”id“:”https://openalex.org/C2778067643,“wikidata”:https://www.wikidata.org/wiki/Q166507“,”display_name“:”区间(图论)“,”level“:2,”score“:0.49388367},{”id“:”https://openalex.org/C182365436,“wikidata”:https://www.wikidata.org/wiki/Q50701“,”display_name“:”变量(数学)“,”level“:2,”score“:0.4785205},{”id“:”https://openalex.org/C50478463,“wikidata”:https://www.wikidata.org/wiki/Q1401936“,”display_name“:”有限体积法“,”level“:2,”score“:0.46436498},{”id“:”https://openalex.org/C111771559,“wikidata”:https://www.wikidata.org/wiki/Q66295“,”display_name“:”Derivative(finance)“,”level“:2,”score“:0.44988587},{”id“:”https://openalex.org/C571446,“wikidata”:https://www.wikidata.org/wiki/Q6510183“,”display_name“:”扩散方程“,”level“:3,”score“:0.4398827},{”id“:”https://openalex.org/C2778572836,“wikidata”:https://www.wikidata.org/wiki/Q380933“,”display_name“:”空格(标点符号)“,”level“:2,”score“:0.4190175},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.1334871},{”id“:”https://openalex.org/C18903297,“wikidata”:https://www.wikidata.org/wiki/Q7150(网址:https://www.wikidata.org/wiki/Q7150)“,”display_name“:”生态学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C41895202,“wikidata”:https://www.wikidata.org/wiki/Q8162“,”display_name“:”语言学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C138885662,“wikidata”:https://www.wikidata.org/wiki/Q5891“,”display_name“:”哲学“,”等级“:0,”分数“:0.0},{”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“:”经济学“,”level“:0,”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/C136264566,“wikidata”:https://www.wikidata.org/wiki/Q159810“,”display_name“:”Economy“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C57879066,“wikidata”:https://www.wikidata.org/wiki/Q41217“,”display_name“:”力学“,”级别“:1,”分数“:0.0},{”id“:”https://openalex.org/C106159729,“wikidata”:https://www.wikidata.org/wiki/Q2294553“,”display_name“:”金融经济学“,”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}],”mesh“:[],”locations_count“:1,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1016/j.cam.2023.115179“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S165473669“,”display_name“:”计算与应用数学杂志“,”issn_l“:”0377-0427“,”isn“:[”0377-01427“、”1879-1778“],”is_oa“:false,”is-in_doaj“:false,”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,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nul,“sustainable_development_goals”:[],“grants”:{“funder”:“https://openalex.org/F4320320983“,”“funder_display_name”:“昆士兰理工大学”,“award_id”:null},{“funder”:“https://openalex.org/F4320321001“,”“funder_display_name”:“国家自然科学基金”,“award_id”:“11772046”},{“funder”:“https://openalex.org/F4320334704“,”“funder_display_name”:“澳大利亚研究委员会”,“award_id”:“DP180103858”},{“funder”:“https://openalex.org/F4320334704“,”funder_display_name“:”澳大利亚研究委员会“,”award_id“:”DP190101889“}],”数据集“:[],”版本“:[],”referenced_works_count“:61,”referenced_works“:[”https://openalex.org/W1418158239","https://openalex.org/W1644929731","https://openalex.org/W1687791782","https://openalex.org/W2006632746","https://openalex.org/W2041540906","https://openalex.org/W2054899953","https://openalex.org/W2060825796","https://openalex.org/W2062266804","https://openalex.org/W2065232540","https://openalex.org/W2065839215","https://openalex.org/W2066693071","https://openalex.org/W2070505112","https://openalex.org/W2091740033","https://openalex.org/W2157055798","https://openalex.org/W2165076033","https://openalex.org/W2182442364","https://openalex.org/W218613191","https://openalex.org/W2563998265","https://openalex.org/W2574063196","https://openalex.org/W2606385482","https://openalex.org/W2608656286","https://openalex.org/W2741724023","https://openalex.org/W2745324256","https://openalex.org/W2757644851","https://openalex.org/W2758674499","https://openalex.org/W2773838778","https://openalex.org/W2776784679","https://openalex.org/W2783310902","https://openalex.org/W2791456857","https://openalex.org/W2799821673","https://openalex.org/W2811108890","https://openalex.org/W2884022948","https://openalex.org/W2886692017","https://openalex.org/W2894729171","https://openalex.org/W2909984379","https://openalex.org/W2914535700","https://openalex.org/W2928920989","https://openalex.org/W2943306774","https://openalex.org/W2963392111","https://openalex.org/W2995930144","https://openalex.org/W2999098738","https://openalex.org/W3007668392","https://openalex.org/W3016623442","https://openalex.org/W3020995103","https://openalex.org/W3022650570","https://openalex.org/W3031174519","https://openalex.org/W3088280692","https://openalex.org/W3088560595","https://openalex.org/W30894894453","https://openalex.org/W3127884550","https://openalex.org/W3131145330","https://openalex.org/W3185048041","https://openalex.org/W3195112625","https://openalex.org/W3200715395","https://openalex.org/W3201154547","https://openalex.org/W4221049390","https://openalex.org/W4221147584","https://openalex.org/W4230663708","https://openalex.org/W4239315801","https://openalex.org/W433794350","https://openalex.org/W617206983“],”related_works“:[”https://openalex.org/W912076904","https://openalex.org/W4213231742","https://openalex.org/W3097619126","https://openalex.org/W3049300385","https://openalex.org/W2416906960网址","https://openalex.org/W2161513111","https://openalex.org/W2089892488","https://openalex.org/W2066116605","https://openalex.org/W2050580331","https://openalex.org/W2030146312“],”ngrams_url“:”https://api.openalex.org/works/W4323922895/ngrams网站“,”“abstract_inverted_index”:{“In”:[0],“this”:[1,58],“paper”:[2],“we”:[3],“consider”:[4],“the”:[5,15,21,44,50,79,85,89,93105],“time\u2013space”:[6],“fractional”:[7,18,25,59,90],“diffusion”:[8,28],“equation”:[9],“on”:[10,49],“a”:[11],“bounded”:[12],“interval”:[13],“带”:[14,32,72],“Caputo”:[16],“时间”:[17],“导数”:[19,61],“和“:[20,36,43,82,92],”双边“:[22],”黎曼\u2013Liouville“:[23],”空间“:[24,80],”导数。“:[26],”| The“:[27],”系数“:[29],”是“:[30,54,84101],”变量“:[31],”尊重“:[33],”to“:[34,56103],”x“:[35],”t.“:[37],”The“:[38],”temporal“:[39,86],”uniformal“:[40],”L1-type“:[41],”离散化“:[42],”有限“:[45],”volume“:%46],“method”:[47],”基于“:[48],”节点“:[51,87],”基础“:[52],”函数“:[53],”采用“:[55],”离散“:[57],”偏“:[60],”方程。“:[62],“我们”:[63],“严格”:[64],“证明”:[65],“that”:[66],“our”:[67],“scheme”:[68],“is”:[69,78],“conditionally”:[70],“stable”:[71],“收敛”:[73],“速率”:[74],“Oh2+N\u2212min{2\u2212\u03b1},”:[75],“其中”:[76],“h”:[77],“步骤”:[81],“N,\u03b1,r”:[83],“数字”:[88],“参数”:[91,95],“分级”:[94],“。“:[96],”最后,“:[97],”一些“:[98],”数值“:[99],”结果“:[100],”呈现“:[102],”验证“:[104],”理论“:[106],”分析。“:[107]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W4323922895“,”counts_by_year“:[],”updated_date“:”2024-05-23T10:36:29.254380“,”created_date:“2023-03-12”}“