{"id":"https://openalex.org/W4413329051","doi":"https://doi.org/10.1007/s12190-025-02616-8","title":"A fast backward implicit integration factor scheme for nonlinear spatial fractional backward diffusion problems","display_name":"A fast backward implicit integration factor scheme for nonlinear spatial fractional backward diffusion problems","publication_year":2025,"publication_date":"2025-08-19","ids":{"openalex":"https://openalex.org/W4413329051","doi":"https://doi.org/10.1007/s12190-025-02616-8"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02616-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02616-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and 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/A5080573867","display_name":"Huan-Yan Jian","orcid":null},"institutions":[{"id":"https://openalex.org/I6645349","display_name":"Southwest Minzu University","ror":"https://ror.org/04gaexw88","country_code":"CN","type":"education","lineage":["https://openalex.org/I6645349"]},{"id":"https://openalex.org/I2799449666","display_name":"State Ethnic Affairs Commission","ror":"https://ror.org/01p9g6b97","country_code":"CN","type":"government","lineage":["https://openalex.org/I2799449666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanyan Jian","raw_affiliation_strings":["College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","Institute of Qinghai-Tibetan Plateau, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I6645349"]},{"raw_affiliation_string":"Institute of Qinghai-Tibetan Plateau, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I6645349"]},{"raw_affiliation_string":"The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I2799449666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001177870","display_name":"Ping Xiong","orcid":"https://orcid.org/0000-0003-3289-3061"},"institutions":[{"id":"https://openalex.org/I102345215","display_name":"Xihua University","ror":"https://ror.org/04gwtvf26","country_code":"CN","type":"education","lineage":["https://openalex.org/I102345215"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ping Xiong","raw_affiliation_strings":["Key Laboratory of Fluid and Power Machinery, Xihua University, Chengdu, Sichuan, 610039, P.R. China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Fluid and Power Machinery, Xihua University, Chengdu, Sichuan, 610039, P.R. China","institution_ids":["https://openalex.org/I102345215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032122751","display_name":"Xiaomei Qu","orcid":"https://orcid.org/0000-0002-6101-9958"},"institutions":[{"id":"https://openalex.org/I6645349","display_name":"Southwest Minzu University","ror":"https://ror.org/04gaexw88","country_code":"CN","type":"education","lineage":["https://openalex.org/I6645349"]},{"id":"https://openalex.org/I2799449666","display_name":"State Ethnic Affairs Commission","ror":"https://ror.org/01p9g6b97","country_code":"CN","type":"government","lineage":["https://openalex.org/I2799449666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaomei Qu","raw_affiliation_strings":["College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I6645349"]},{"raw_affiliation_string":"The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I2799449666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100338131","display_name":"Tao Liu","orcid":"https://orcid.org/0000-0001-8297-800X"},"institutions":[{"id":"https://openalex.org/I2799449666","display_name":"State Ethnic Affairs Commission","ror":"https://ror.org/01p9g6b97","country_code":"CN","type":"government","lineage":["https://openalex.org/I2799449666"]},{"id":"https://openalex.org/I6645349","display_name":"Southwest Minzu University","ror":"https://ror.org/04gaexw88","country_code":"CN","type":"education","lineage":["https://openalex.org/I6645349"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Liu","raw_affiliation_strings":["College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I6645349"]},{"raw_affiliation_string":"The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I2799449666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050572122","display_name":"Wenrong Tan","orcid":"https://orcid.org/0000-0002-9574-9510"},"institutions":[{"id":"https://openalex.org/I2799449666","display_name":"State Ethnic Affairs Commission","ror":"https://ror.org/01p9g6b97","country_code":"CN","type":"government","lineage":["https://openalex.org/I2799449666"]},{"id":"https://openalex.org/I6645349","display_name":"Southwest Minzu University","ror":"https://ror.org/04gaexw88","country_code":"CN","type":"education","lineage":["https://openalex.org/I6645349"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenrong Tan","raw_affiliation_strings":["College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Artificial Intelligence, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I6645349"]},{"raw_affiliation_string":"The Key Laboratory for Computer Systems of State Ethnic Affairs Commission, Southwest Minzu University, Chengdu, Sichuan, 610225, P.R. China","institution_ids":["https://openalex.org/I2799449666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5001177870"],"corresponding_institution_ids":["https://openalex.org/I102345215"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25706557,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"6","first_page":"8097","last_page":"8121"},"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":0.9994999766349792,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9976000189781189,"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":0.7989155054092407},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7313483953475952},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5992996096611023},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5857288837432861},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5664499998092651},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5530312657356262},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.5153850317001343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3466728627681732},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2676088809967041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13802459836006165}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7989155054092407},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7313483953475952},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5992996096611023},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5857288837432861},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5664499998092651},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5530312657356262},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.5153850317001343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3466728627681732},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2676088809967041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13802459836006165},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02616-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02616-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W648869842","https://openalex.org/W1511121222","https://openalex.org/W2003451508","https://openalex.org/W2014986208","https://openalex.org/W2018207569","https://openalex.org/W2018931076","https://openalex.org/W2021829258","https://openalex.org/W2030193783","https://openalex.org/W2046160677","https://openalex.org/W2057602562","https://openalex.org/W2062092992","https://openalex.org/W2069826732","https://openalex.org/W2090954108","https://openalex.org/W2107162131","https://openalex.org/W2108944658","https://openalex.org/W2118160506","https://openalex.org/W2121842957","https://openalex.org/W2155216327","https://openalex.org/W2159344399","https://openalex.org/W2160642865","https://openalex.org/W2256698020","https://openalex.org/W2283829969","https://openalex.org/W2301924123","https://openalex.org/W2589656637","https://openalex.org/W2808740699","https://openalex.org/W2888797941","https://openalex.org/W2954687791","https://openalex.org/W2962865735","https://openalex.org/W3003480536","https://openalex.org/W3012378318","https://openalex.org/W3016204460","https://openalex.org/W3024760534","https://openalex.org/W3096158025","https://openalex.org/W3100248425","https://openalex.org/W3105514664","https://openalex.org/W3135392529","https://openalex.org/W3164559554","https://openalex.org/W3170699221","https://openalex.org/W3194176545","https://openalex.org/W3194307741","https://openalex.org/W3197966229","https://openalex.org/W4283640733","https://openalex.org/W4283804620","https://openalex.org/W4287218605","https://openalex.org/W4313421141","https://openalex.org/W4327976816","https://openalex.org/W4383896312","https://openalex.org/W4384825404","https://openalex.org/W4386377660","https://openalex.org/W4388734716","https://openalex.org/W4389067771","https://openalex.org/W4391806760","https://openalex.org/W4396673720"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2122599759","https://openalex.org/W4236520801","https://openalex.org/W2064563243","https://openalex.org/W4250775169","https://openalex.org/W1537234410","https://openalex.org/W1995022398","https://openalex.org/W2484602794","https://openalex.org/W4412523884"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}