{"id":"https://openalex.org/W7165369376","doi":"https://doi.org/10.1016/j.matcom.2026.05.041","title":"A generalized BDF2 method for the two-dimensional (modified) Fisher-Kolmogorov-Petrovsky-Piscounov equation","display_name":"A generalized BDF2 method for the two-dimensional (modified) Fisher-Kolmogorov-Petrovsky-Piscounov equation","publication_year":2026,"publication_date":"2026-06-19","ids":{"openalex":"https://openalex.org/W7165369376","doi":"https://doi.org/10.1016/j.matcom.2026.05.041"},"language":"en","primary_location":{"id":"doi:10.1016/j.matcom.2026.05.041","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.05.041","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"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":"Mathematics and Computers in Simulation","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/A5139007543","display_name":"Lei Ge","orcid":null},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Ge","raw_affiliation_strings":["School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, PR China","institution_ids":["https://openalex.org/I63354593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120850130","display_name":"Yong-Liang Zhao","orcid":"https://orcid.org/0009-0007-3823-5357"},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong-Liang Zhao","raw_affiliation_strings":["School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, PR China","institution_ids":["https://openalex.org/I63354593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004008709","display_name":"Qianyu Shu","orcid":"https://orcid.org/0000-0002-3983-4614"},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian-Yu Shu","raw_affiliation_strings":["School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Sichuan Normal University, Chengdu, Sichuan 610066, PR China","institution_ids":["https://openalex.org/I63354593"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5120850130"],"corresponding_institution_ids":["https://openalex.org/I63354593"],"apc_list":{"value":1740,"currency":"USD","value_usd":1740},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.8305,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"250","issue":null,"first_page":"35","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.46470001339912415,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.46470001339912415,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.12610000371932983,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.09809999912977219,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6320000290870667},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6161999702453613},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5566999912261963},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"Uniform convergence","score":0.3352000117301941},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.3314000070095062},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3100000023841858}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.795799970626831},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6320000290870667},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6161999702453613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5669999718666077},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5566999912261963},{"id":"https://openalex.org/C157709441","wikidata":"https://www.wikidata.org/wiki/Q1411887","display_name":"Uniform convergence","level":3,"score":0.3352000117301941},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3314000070095062},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3100000023841858},{"id":"https://openalex.org/C152522140","wikidata":"https://www.wikidata.org/wiki/Q795746","display_name":"Backward differentiation formula","level":5,"score":0.3052000105381012},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2754000127315521},{"id":"https://openalex.org/C43012357","wikidata":"https://www.wikidata.org/wiki/Q29744","display_name":"Stiff equation","level":3,"score":0.26840001344680786},{"id":"https://openalex.org/C203989658","wikidata":"https://www.wikidata.org/wiki/Q1879820","display_name":"Equation solving","level":3,"score":0.2563999891281128}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.matcom.2026.05.041","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.05.041","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"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":"Mathematics and Computers in Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W571714008","https://openalex.org/W1963994264","https://openalex.org/W1965273403","https://openalex.org/W1985072454","https://openalex.org/W1999875512","https://openalex.org/W2004864292","https://openalex.org/W2007091413","https://openalex.org/W2014863630","https://openalex.org/W2022598426","https://openalex.org/W2030006245","https://openalex.org/W2058152310","https://openalex.org/W2065178079","https://openalex.org/W2079949023","https://openalex.org/W2102312106","https://openalex.org/W2593021266","https://openalex.org/W2887595726","https://openalex.org/W2913106833","https://openalex.org/W2921250963","https://openalex.org/W2959884191","https://openalex.org/W2963072874","https://openalex.org/W3018099741","https://openalex.org/W3019010078","https://openalex.org/W3048023862","https://openalex.org/W3048822804","https://openalex.org/W3096158025","https://openalex.org/W3108520667","https://openalex.org/W3121695056","https://openalex.org/W3199556142","https://openalex.org/W4221000018","https://openalex.org/W4226324972","https://openalex.org/W4283803604","https://openalex.org/W4327589968","https://openalex.org/W4385248996","https://openalex.org/W4400692988","https://openalex.org/W4403468540","https://openalex.org/W4407803874","https://openalex.org/W4417435562","https://openalex.org/W7117447413"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2026-06-20T00:00:00"}
