{"id":"https://openalex.org/W7124464591","doi":"https://doi.org/10.1016/j.jcp.2026.114694","title":"High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen\u2013Cahn equation","display_name":"High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen\u2013Cahn equation","publication_year":2026,"publication_date":"2026-01-17","ids":{"openalex":"https://openalex.org/W7124464591","doi":"https://doi.org/10.1016/j.jcp.2026.114694"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2026.114694","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114694","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","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/A5123186889","display_name":"Bingyin Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingyin Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, Shandong, China"],"raw_orcid":"https://orcid.org/0009-0001-8024-9126","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, Shandong, China","institution_ids":["https://openalex.org/I59028903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123241807","display_name":"Hong Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong Wang","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, 29208, South Carolina, USA"],"raw_orcid":"https://orcid.org/0000-0002-1668-7332","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, 29208, South Carolina, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121079353","display_name":"Hongfei Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongfei Fu","raw_affiliation_strings":["Laboratory of Marine Mathematics, Ocean University of China, Qingdao, 266100, Shandong, China","School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, Shandong, China"],"raw_orcid":"https://orcid.org/0000-0002-8294-8086","affiliations":[{"raw_affiliation_string":"Laboratory of Marine Mathematics, Ocean University of China, Qingdao, 266100, Shandong, China","institution_ids":["https://openalex.org/I59028903"]},{"raw_affiliation_string":"School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, Shandong, China","institution_ids":["https://openalex.org/I59028903"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5121079353"],"corresponding_institution_ids":["https://openalex.org/I59028903"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":9.6782,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.94387094,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"551","issue":null,"first_page":"114694","last_page":"114694"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.38769999146461487,"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":0.38769999146461487,"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/T11416","display_name":"Numerical methods for differential equations","score":0.11800000071525574,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.0940999984741211,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7024000287055969},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6773999929428101},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6685000061988831},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6486999988555908},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.6158000230789185},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4564000070095062},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.453900009393692},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.37130001187324524}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7024000287055969},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6773999929428101},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6765999794006348},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6685000061988831},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6486999988555908},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6158000230789185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5612999796867371},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4564000070095062},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.453900009393692},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35120001435279846},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.34630000591278076},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.30809998512268066},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2964000105857849},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.2761000096797943},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2700999975204468},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.26840001344680786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jcp.2026.114694","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114694","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8979464173316956,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1054713308","display_name":null,"funder_award_id":"12131014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2408038048","display_name":null,"funder_award_id":"202461103","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2786232984","display_name":null,"funder_award_id":"ZR2024MA023","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5288220836","display_name":null,"funder_award_id":"11971482","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6525388739","display_name":null,"funder_award_id":"202264006","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322440","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W1512153219","https://openalex.org/W1605821011","https://openalex.org/W1966584387","https://openalex.org/W1968936060","https://openalex.org/W1974245573","https://openalex.org/W1981935248","https://openalex.org/W1987288036","https://openalex.org/W1991825492","https://openalex.org/W1998214447","https://openalex.org/W1998904894","https://openalex.org/W2037963783","https://openalex.org/W2041001120","https://openalex.org/W2046528357","https://openalex.org/W2050128141","https://openalex.org/W2065232540","https://openalex.org/W2070087425","https://openalex.org/W2071268148","https://openalex.org/W2072998038","https://openalex.org/W2080928083","https://openalex.org/W2111271983","https://openalex.org/W2119682008","https://openalex.org/W2121413806","https://openalex.org/W2130457461","https://openalex.org/W2150388881","https://openalex.org/W2165076033","https://openalex.org/W2309846817","https://openalex.org/W2523228639","https://openalex.org/W2597870770","https://openalex.org/W2608656286","https://openalex.org/W2731531705","https://openalex.org/W2735733562","https://openalex.org/W2766149883","https://openalex.org/W2767618852","https://openalex.org/W2794217358","https://openalex.org/W2799821673","https://openalex.org/W2886181830","https://openalex.org/W2893622182","https://openalex.org/W2914074116","https://openalex.org/W2928839578","https://openalex.org/W2955920149","https://openalex.org/W2963929757","https://openalex.org/W2990575151","https://openalex.org/W3018009055","https://openalex.org/W3033817112","https://openalex.org/W3094937669","https://openalex.org/W3106843325","https://openalex.org/W3108780065","https://openalex.org/W3155529219","https://openalex.org/W3159813613","https://openalex.org/W3164684077","https://openalex.org/W3195112625","https://openalex.org/W3199894888","https://openalex.org/W3205272164","https://openalex.org/W4221139231","https://openalex.org/W4225659843","https://openalex.org/W4284894622","https://openalex.org/W4324354753","https://openalex.org/W4380789993","https://openalex.org/W4390949729","https://openalex.org/W4394574286","https://openalex.org/W4394733729","https://openalex.org/W4402974952","https://openalex.org/W4405355810"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-01-22T23:29:09.771500","created_date":"2026-01-17T00:00:00"}