{"id":"https://openalex.org/W4321108074","doi":"https://doi.org/10.1142/s1793962324500120","title":"An efficient pure meshless method for phase separation dominated by time-fractional Cahn\u2013Hilliard equations","display_name":"An efficient pure meshless method for phase separation dominated by time-fractional Cahn\u2013Hilliard equations","publication_year":2023,"publication_date":"2023-02-16","ids":{"openalex":"https://openalex.org/W4321108074","doi":"https://doi.org/10.1142/s1793962324500120"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962324500120","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962324500120","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific 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/A5027639981","display_name":"Weiwei Guo","orcid":"https://orcid.org/0000-0001-5037-0972"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiwei Guo","raw_affiliation_strings":["School of Mathematical Sciences, Yangzhou University, Shuangqiao Street, Yangzhou, Yangzhou 225002, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Yangzhou University, Shuangqiao Street, Yangzhou, Yangzhou 225002, P. R. China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083335217","display_name":"Yujie Zhen","orcid":null},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujie Zhen","raw_affiliation_strings":["School of Mathematical Sciences, Yangzhou University, Shuangqiao Street, Yangzhou, Yangzhou 225002, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Yangzhou University, Shuangqiao Street, Yangzhou, Yangzhou 225002, P. R. China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100648264","display_name":"Tao Jiang","orcid":"https://orcid.org/0000-0002-6779-033X"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Jiang","raw_affiliation_strings":["School of Mathematical Sciences, Yangzhou University, Shuangqiao Street, Yangzhou, Yangzhou 225002, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Yangzhou University, Shuangqiao Street, Yangzhou, Yangzhou 225002, P. R. China","institution_ids":["https://openalex.org/I78978612"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100648264"],"corresponding_institution_ids":["https://openalex.org/I78978612"],"apc_list":null,"apc_paid":null,"fwci":0.5129,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54657286,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991000294685364,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7179633378982544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6507167816162109},{"id":"https://openalex.org/keywords/time-derivative","display_name":"Time derivative","score":0.6021838188171387},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5394656658172607},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5303623676300049},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.5294040441513062},{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"Moving least squares","score":0.5138566493988037},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4304059147834778},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.42988812923431396},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4174514412879944},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41659846901893616},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.17331644892692566}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7179633378982544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6507167816162109},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.6021838188171387},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5394656658172607},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5303623676300049},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.5294040441513062},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.5138566493988037},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4304059147834778},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.42988812923431396},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4174514412879944},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41659846901893616},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.17331644892692566},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962324500120","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962324500120","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3797077096","display_name":null,"funder_award_id":"11501495","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4643277528","display_name":null,"funder_award_id":"51779215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5846860127","display_name":null,"funder_award_id":"2015M581869","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W55532390","https://openalex.org/W1518160170","https://openalex.org/W1910082046","https://openalex.org/W1999107555","https://openalex.org/W2062266804","https://openalex.org/W2065232540","https://openalex.org/W2070865153","https://openalex.org/W2101121254","https://openalex.org/W2117681597","https://openalex.org/W2158598889","https://openalex.org/W2178624181","https://openalex.org/W2309846817","https://openalex.org/W2571497543","https://openalex.org/W2581758183","https://openalex.org/W2596394631","https://openalex.org/W2618364630","https://openalex.org/W2731531705","https://openalex.org/W2801192398","https://openalex.org/W2803371828","https://openalex.org/W2886181830","https://openalex.org/W2922428687","https://openalex.org/W2963589027","https://openalex.org/W3030316402","https://openalex.org/W3033817112","https://openalex.org/W3080293952","https://openalex.org/W3092906298","https://openalex.org/W3112516338","https://openalex.org/W3113068828","https://openalex.org/W3117679437","https://openalex.org/W3148329882","https://openalex.org/W3195112625","https://openalex.org/W3197680231"],"related_works":["https://openalex.org/W2967558384","https://openalex.org/W2370067064","https://openalex.org/W2463125526","https://openalex.org/W2792727181","https://openalex.org/W2161513111","https://openalex.org/W2040280650","https://openalex.org/W912076904","https://openalex.org/W4387993116","https://openalex.org/W4404640140","https://openalex.org/W2309483824"],"abstract_inverted_index":{"In":[0,111],"this":[1],"paper,":[2],"an":[3],"efficient":[4,213],"Twice":[5],"Finite":[6],"Point-set":[7],"Method":[8],"(TFPM)":[9],"coupled":[10,193,204],"with":[11,158],"difference":[12,59],"scheme":[13,60,88],"is":[14,26,61,75,83,149,173,180,206],"proposed":[15,47,122,154,178,203],"to":[16,28,63,182],"solve":[17],"the":[18,30,43,53,65,71,86,100,108,112,115,121,135,153,159,170,177,184,197,202,210,216],"time-fractional":[19],"Cahn\u2013Hilliard":[20],"(TF-CH)":[21],"equation,":[22],"and":[23,81,95,117,156,212],"then":[24],"it":[25,82],"extended":[27],"predict":[29,183],"phase":[31,138,185,217],"separation":[32,139,171,186,218],"process":[33,187],"under":[34,140,188],"nonlocal":[35],"memory":[36,141],"dominated":[37,142,191],"by":[38,52,85,143,152,192],"two-component":[39],"TF-CH":[40,194,211],"equations":[41],"for":[42],"first":[44,126],"time.":[45],"The":[46,164],"meshless":[48,123],"schemes":[49],"are":[50,125],"motivated":[51],"following:":[54],"(a)":[55],"a":[56],"high-order":[57],"accuracy":[58],"employed":[62],"approximate":[64],"time":[66,148],"Caputo":[67],"fractional":[68,167],"derivative;":[69],"(b)":[70],"fourth-order":[72],"spatial":[73],"derivative":[74],"divided":[76],"into":[77],"two":[78],"second-order":[79,131],"derivatives,":[80],"discretized":[84],"FPM":[87,109],"continuously":[89],"twice":[90],"based":[91],"on":[92,107,169],"Taylor":[93],"expansion":[94],"weighted":[96],"least":[97],"squares;":[98],"(c)":[99],"Neumann":[101],"boundary":[102],"can":[103],"be":[104],"accurately":[105],"imposed":[106],"scheme.":[110],"numerical":[113,118,198],"experiments,":[114],"error":[116],"convergence":[119],"of":[120,137,166],"method":[124,179,205],"tested,":[127],"which":[128],"has":[129],"near":[130],"convergent":[132],"rate.":[133],"Subsequently,":[134],"evolution":[136],"single":[144],"CH":[145],"equation":[146],"versus":[147],"numerically":[150],"investigated":[151],"method,":[155],"compared":[157],"results":[160,199],"in":[161,208,214],"other":[162],"literatures.":[163],"influence":[165],"parameter":[168],"phenomena":[172],"also":[174],"discussed.":[175],"Finally,":[176],"used":[181],"different":[189],"parameters":[190],"equations.":[195],"All":[196],"show":[200],"that":[201],"accurate":[207],"solving":[209],"predicting":[215],"evolution.":[219]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
