{"id":"https://openalex.org/W3200056464","doi":"https://doi.org/10.1007/s12190-021-01609-7","title":"ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel","display_name":"ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel","publication_year":2021,"publication_date":"2021-09-10","ids":{"openalex":"https://openalex.org/W3200056464","doi":"https://doi.org/10.1007/s12190-021-01609-7","mag":"3200056464"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-021-01609-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-021-01609-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["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":"https://openalex.org/A5101559943","display_name":"Biao Yang","orcid":"https://orcid.org/0000-0002-2337-3649"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biao Yang","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101670520","display_name":"Haixiang Zhang","orcid":"https://orcid.org/0000-0001-9534-1446"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haixiang Zhang","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070696600","display_name":"Xuehua Yang","orcid":"https://orcid.org/0000-0003-1711-6117"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuehua Yang","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115596095","display_name":"Liang Tang","orcid":"https://orcid.org/0000-0003-0446-143X"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Tang","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I49934816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070696600"],"corresponding_institution_ids":["https://openalex.org/I49934816"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6204,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66141732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"68","issue":"4","first_page":"2471","last_page":"2491"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9994000196456909,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.9113814830780029},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6488631963729858},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.603268027305603},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5236974954605103},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.511814534664154},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4998342990875244},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4785659611225128},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.47635960578918457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45480793714523315},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.45276039838790894},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4273339509963989},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2073751986026764}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9113814830780029},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6488631963729858},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.603268027305603},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5236974954605103},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.511814534664154},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4998342990875244},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4785659611225128},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.47635960578918457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45480793714523315},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.45276039838790894},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4273339509963989},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2073751986026764},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-021-01609-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-021-01609-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["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":[{"display_name":"Affordable and clean energy","score":0.6899999976158142,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1964804260","https://openalex.org/W1965716945","https://openalex.org/W1979313496","https://openalex.org/W1984091802","https://openalex.org/W1991982189","https://openalex.org/W2020904586","https://openalex.org/W2022961782","https://openalex.org/W2030791350","https://openalex.org/W2033672550","https://openalex.org/W2034431746","https://openalex.org/W2059607966","https://openalex.org/W2083834253","https://openalex.org/W2111271983","https://openalex.org/W2277830160","https://openalex.org/W2468255338","https://openalex.org/W2560003211","https://openalex.org/W2744615916","https://openalex.org/W2787959293","https://openalex.org/W2795025401","https://openalex.org/W2898636786","https://openalex.org/W2910660763","https://openalex.org/W2954524084","https://openalex.org/W2955920149","https://openalex.org/W2971942511","https://openalex.org/W2977085725","https://openalex.org/W2982710089","https://openalex.org/W2987004404","https://openalex.org/W3000009958","https://openalex.org/W3005312945","https://openalex.org/W3018009055","https://openalex.org/W3092269795","https://openalex.org/W3098148926","https://openalex.org/W3099925677","https://openalex.org/W3103882064","https://openalex.org/W3109681878","https://openalex.org/W3148434010","https://openalex.org/W4255197022"],"related_works":["https://openalex.org/W2080994790","https://openalex.org/W1995357705","https://openalex.org/W1590663584","https://openalex.org/W1968390457","https://openalex.org/W2288831900","https://openalex.org/W2152693871","https://openalex.org/W2069123619","https://openalex.org/W2135857931","https://openalex.org/W2945655702","https://openalex.org/W2085547843"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
