{"id":"https://openalex.org/W2969795376","doi":"https://doi.org/10.1007/s11075-019-00795-7","title":"Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method","display_name":"Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method","publication_year":2019,"publication_date":"2019-08-23","ids":{"openalex":"https://openalex.org/W2969795376","doi":"https://doi.org/10.1007/s11075-019-00795-7","mag":"2969795376"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00795-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00795-7","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/A5109412470","display_name":"Shuying Zhai","orcid":"https://orcid.org/0009-0005-0301-4170"},"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":"Shuying Zhai","raw_affiliation_strings":["Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050050486","display_name":"Longyuan Wu","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":"Longyuan Wu","raw_affiliation_strings":["Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100319504","display_name":"Jingyi Wang","orcid":"https://orcid.org/0000-0002-7192-533X"},"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":"Jingying Wang","raw_affiliation_strings":["Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047002361","display_name":"Zhifeng Weng","orcid":"https://orcid.org/0000-0003-1836-2264"},"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":true,"raw_author_name":"Zhifeng Weng","raw_affiliation_strings":["Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People\u2019s Republic of China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"Fujian Province University Key Laboratory of Computation Science, Huaqiao University, Quanzhou, 362021, People's Republic of China","institution_ids":["https://openalex.org/I119045251"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047002361"],"corresponding_institution_ids":["https://openalex.org/I119045251"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6425,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.6419758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"84","issue":"3","first_page":"1155","last_page":"1178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials 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":0.9958000183105469,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8194377422332764},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.6432784795761108},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5494607090950012},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5121595859527588},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5027384757995605},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48262128233909607},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4628990888595581},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4553111791610718},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4372461438179016},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.4189348518848419},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3843871057033539},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3050081729888916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12745419144630432}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8194377422332764},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.6432784795761108},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5494607090950012},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5121595859527588},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5027384757995605},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48262128233909607},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4628990888595581},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4553111791610718},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4372461438179016},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.4189348518848419},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3843871057033539},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3050081729888916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12745419144630432},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-019-00795-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00795-7","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1407886007","display_name":null,"funder_award_id":"11701196","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4493373005","display_name":null,"funder_award_id":"11701197","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W111825918","https://openalex.org/W820976346","https://openalex.org/W1436001274","https://openalex.org/W1757367103","https://openalex.org/W1787698886","https://openalex.org/W1966291642","https://openalex.org/W1969647398","https://openalex.org/W1973118344","https://openalex.org/W1974581626","https://openalex.org/W1981632256","https://openalex.org/W1987241994","https://openalex.org/W1991825492","https://openalex.org/W1998573164","https://openalex.org/W2003202721","https://openalex.org/W2013668911","https://openalex.org/W2016703741","https://openalex.org/W2030985152","https://openalex.org/W2031651409","https://openalex.org/W2033393092","https://openalex.org/W2034839545","https://openalex.org/W2044562696","https://openalex.org/W2046528357","https://openalex.org/W2049161806","https://openalex.org/W2050969603","https://openalex.org/W2054744338","https://openalex.org/W2067513555","https://openalex.org/W2078821354","https://openalex.org/W2092400970","https://openalex.org/W2115176036","https://openalex.org/W2163017860","https://openalex.org/W2177852322","https://openalex.org/W2410970256","https://openalex.org/W2483239599","https://openalex.org/W2490277742","https://openalex.org/W2501163367","https://openalex.org/W2533658490","https://openalex.org/W2587855701","https://openalex.org/W2618364630","https://openalex.org/W2735733562","https://openalex.org/W2740918329","https://openalex.org/W2749568566","https://openalex.org/W2771262646","https://openalex.org/W2783832701","https://openalex.org/W2807325390","https://openalex.org/W2811445391","https://openalex.org/W2911401788","https://openalex.org/W2963929757","https://openalex.org/W2990946391","https://openalex.org/W3105813679","https://openalex.org/W3123482694","https://openalex.org/W3150837077"],"related_works":["https://openalex.org/W2967558384","https://openalex.org/W2048454885","https://openalex.org/W2077028260","https://openalex.org/W57680709","https://openalex.org/W2059693824","https://openalex.org/W3196123858","https://openalex.org/W2083629653","https://openalex.org/W2049591648","https://openalex.org/W3119443538","https://openalex.org/W2533658490"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}