{"id":"https://openalex.org/W2605907524","doi":"https://doi.org/10.1007/978-3-319-57099-0_60","title":"Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay","display_name":"Numerical Methods for a Class of Fractional Advection-Diffusion Models with Functional Delay","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2605907524","doi":"https://doi.org/10.1007/978-3-319-57099-0_60","mag":"2605907524"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-57099-0_60","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-57099-0_60","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5050179097","display_name":"\u0412. \u0413. \u041f\u0438\u043c\u0435\u043d\u043e\u0432","orcid":"https://orcid.org/0000-0002-4042-6079"},"institutions":[{"id":"https://openalex.org/I130823665","display_name":"Ural Federal University","ror":"https://ror.org/00hs7dr46","country_code":"RU","type":"education","lineage":["https://openalex.org/I130823665"]},{"id":"https://openalex.org/I4210105350","display_name":"N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/029fhmb28","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210105350","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vladimir Pimenov","raw_affiliation_strings":["Department of Computational Mathematics, Ural Federal University, Ekaterinburg, Russia","Institute of Mathematics and Mechanics, Ekaterinburg, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Computational Mathematics, Ural Federal University, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I130823665"]},{"raw_affiliation_string":"Institute of Mathematics and Mechanics, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I4210105350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048088469","display_name":"Ahmed S. Hendy","orcid":"https://orcid.org/0000-0002-3266-7243"},"institutions":[{"id":"https://openalex.org/I130823665","display_name":"Ural Federal University","ror":"https://ror.org/00hs7dr46","country_code":"RU","type":"education","lineage":["https://openalex.org/I130823665"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ahmed Hendy","raw_affiliation_strings":["Department of Computational Mathematics, Ural Federal University, Ekaterinburg, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Computational Mathematics, Ural Federal University, Ekaterinburg, Russia","institution_ids":["https://openalex.org/I130823665"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050179097"],"corresponding_institution_ids":["https://openalex.org/I130823665","https://openalex.org/I4210105350"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.6643,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.88421053,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"533","last_page":"541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9983000159263611,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/piecewise","display_name":"Piecewise","score":0.5890029668807983},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5659067630767822},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5575376152992249},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5548292398452759},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5313929319381714},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5303611755371094},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.49254903197288513},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4657455384731293},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42736148834228516},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.42221683263778687},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.41777780652046204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3338753581047058},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31270092725753784},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.181162029504776}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5890029668807983},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5659067630767822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5575376152992249},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5548292398452759},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5313929319381714},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5303611755371094},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.49254903197288513},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4657455384731293},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42736148834228516},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.42221683263778687},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.41777780652046204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3338753581047058},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31270092725753784},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.181162029504776},{"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-57099-0_60","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-57099-0_60","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W38585496","https://openalex.org/W81776643","https://openalex.org/W156860554","https://openalex.org/W385499458","https://openalex.org/W625309041","https://openalex.org/W1530054495","https://openalex.org/W1605753492","https://openalex.org/W1965524677","https://openalex.org/W1981956153","https://openalex.org/W1994204687","https://openalex.org/W2018450598","https://openalex.org/W2025179483","https://openalex.org/W2084387093","https://openalex.org/W2091418812","https://openalex.org/W2107162131","https://openalex.org/W2164848779","https://openalex.org/W2588200798","https://openalex.org/W2732661672","https://openalex.org/W2787959293"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W4296478327","https://openalex.org/W2042397106","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W1960072520","https://openalex.org/W2220129715","https://openalex.org/W2387596242","https://openalex.org/W2333625343","https://openalex.org/W2212647145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}