{"id":"https://openalex.org/W4416280342","doi":"https://doi.org/10.1007/s12190-025-02680-0","title":"Interior penalty method for variable-order time-fractional mobile-immobile model with discontinuous coefficients","display_name":"Interior penalty method for variable-order time-fractional mobile-immobile model with discontinuous coefficients","publication_year":2025,"publication_date":"2025-11-17","ids":{"openalex":"https://openalex.org/W4416280342","doi":"https://doi.org/10.1007/s12190-025-02680-0"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02680-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02680-0","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","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":null,"display_name":"Chanchan Hao","orcid":null},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chanchan Hao","raw_affiliation_strings":["School of Information Engineering, Zhejiang Ocean University, Zhoushan, Zhejiang, 316000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Engineering, Zhejiang Ocean University, Zhoushan, Zhejiang, 316000, China","institution_ids":["https://openalex.org/I31847773"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043002258","display_name":"Hongying Huang","orcid":"https://orcid.org/0000-0002-4846-4299"},"institutions":[{"id":"https://openalex.org/I4210129938","display_name":"Guangzhou Maritime College","ror":"https://ror.org/03kzcrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210129938"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongying Huang","raw_affiliation_strings":["School of Arts and Science, Guangzhou Maritime University, Guangzhou, Guangdong, 510725, China"],"raw_orcid":"https://orcid.org/0000-0002-4846-4299","affiliations":[{"raw_affiliation_string":"School of Arts and Science, Guangzhou Maritime University, Guangzhou, Guangdong, 510725, China","institution_ids":["https://openalex.org/I4210129938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100659947","display_name":"Huili Zhang","orcid":"https://orcid.org/0000-0001-8824-5341"},"institutions":[{"id":"https://openalex.org/I4210129938","display_name":"Guangzhou Maritime College","ror":"https://ror.org/03kzcrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210129938"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huili Zhang","raw_affiliation_strings":["School of Arts and Science, Guangzhou Maritime University, Guangzhou, Guangdong, 510725, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Arts and Science, Guangzhou Maritime University, Guangzhou, Guangdong, 510725, China","institution_ids":["https://openalex.org/I4210129938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043002258"],"corresponding_institution_ids":["https://openalex.org/I4210129938"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29163696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.6692000031471252,"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":0.6692000031471252,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.08340000361204147,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.039500001817941666,"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/discretization","display_name":"Discretization","score":0.7985000014305115},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.676800012588501},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.6640999913215637},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5684999823570251},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.42410001158714294},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4020000100135803},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4000999927520752},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.3977000117301941}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7985000014305115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7671999931335449},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.676800012588501},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.6640999913215637},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5684999823570251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45680001378059387},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.42410001158714294},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4020000100135803},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4000999927520752},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3977000117301941},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.3896999955177307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38260000944137573},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3614000082015991},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3596000075340271},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.353300005197525},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35019999742507935},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3075000047683716},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.26930001378059387}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02680-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02680-0","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","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":30,"referenced_works":["https://openalex.org/W1575849776","https://openalex.org/W1969312973","https://openalex.org/W1993681020","https://openalex.org/W2041540906","https://openalex.org/W2042669113","https://openalex.org/W2056562238","https://openalex.org/W2062266804","https://openalex.org/W2066215158","https://openalex.org/W2092440717","https://openalex.org/W2608656286","https://openalex.org/W2914047918","https://openalex.org/W2923505959","https://openalex.org/W2928839578","https://openalex.org/W2971718279","https://openalex.org/W2985382023","https://openalex.org/W2999409968","https://openalex.org/W3001389380","https://openalex.org/W3006047440","https://openalex.org/W3023580085","https://openalex.org/W3041449416","https://openalex.org/W3126378737","https://openalex.org/W3152293767","https://openalex.org/W3205872478","https://openalex.org/W4233665781","https://openalex.org/W4285040552","https://openalex.org/W4307958203","https://openalex.org/W4310251329","https://openalex.org/W4318067072","https://openalex.org/W4362735607","https://openalex.org/W4387339080"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-11-17T00:00:00"}
