{"id":"https://openalex.org/W4403446707","doi":"https://doi.org/10.1109/acit62333.2024.10712458","title":"The Spectral Methods of Investigation the Processes of Heterodiffusion in the Terms of Fractional Derivatives","display_name":"The Spectral Methods of Investigation the Processes of Heterodiffusion in the Terms of Fractional Derivatives","publication_year":2024,"publication_date":"2024-09-19","ids":{"openalex":"https://openalex.org/W4403446707","doi":"https://doi.org/10.1109/acit62333.2024.10712458"},"language":"en","primary_location":{"id":"doi:10.1109/acit62333.2024.10712458","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit62333.2024.10712458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 14th International Conference on Advanced Computer Information Technologies (ACIT)","raw_type":"proceedings-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/A5059048954","display_name":"Yaroslav Pyanylo","orcid":"https://orcid.org/0000-0002-5458-3526"},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"funder","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210145787","display_name":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics","ror":"https://ror.org/05dry3213","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210145787"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Yaroslav Pyanylo","raw_affiliation_strings":["Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,National Academy of Sciences of Ukraine,Lviv,Ukraine"],"affiliations":[{"raw_affiliation_string":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,National Academy of Sciences of Ukraine,Lviv,Ukraine","institution_ids":["https://openalex.org/I4210145787","https://openalex.org/I149851306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021689186","display_name":"Sofiya Tvardovska","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145787","display_name":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics","ror":"https://ror.org/05dry3213","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210145787"]},{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"funder","lineage":["https://openalex.org/I149851306"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Sofiya Tvardovska","raw_affiliation_strings":["Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,National Academy of Sciences of Ukraine,Lviv,Ukraine"],"affiliations":[{"raw_affiliation_string":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,National Academy of Sciences of Ukraine,Lviv,Ukraine","institution_ids":["https://openalex.org/I4210145787","https://openalex.org/I149851306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020802181","display_name":"Halyna Pyanylo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145787","display_name":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics","ror":"https://ror.org/05dry3213","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210145787"]},{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"funder","lineage":["https://openalex.org/I149851306"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Halyna Pyanylo","raw_affiliation_strings":["Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,National Academy of Sciences of Ukraine,Lviv,Ukraine"],"affiliations":[{"raw_affiliation_string":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,National Academy of Sciences of Ukraine,Lviv,Ukraine","institution_ids":["https://openalex.org/I4210145787","https://openalex.org/I149851306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059048954"],"corresponding_institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210145787"],"apc_list":null,"apc_paid":null,"fwci":1.0337,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76756982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"186","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9704999923706055,"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"}},"topics":[{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9704999923706055,"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"}},{"id":"https://openalex.org/T12850","display_name":"Field-Flow Fractionation Techniques","score":0.9537000060081482,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9534000158309937,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/fractional-calculus","display_name":"Fractional calculus","score":0.4954019784927368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39673149585723877},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3403974175453186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29468077421188354}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4954019784927368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39673149585723877},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3403974175453186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29468077421188354}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acit62333.2024.10712458","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit62333.2024.10712458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 14th International Conference on Advanced Computer Information Technologies (ACIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1971200514","https://openalex.org/W2320995914","https://openalex.org/W2769862177","https://openalex.org/W4378224806","https://openalex.org/W4383671533","https://openalex.org/W4396213853","https://openalex.org/W4396217436","https://openalex.org/W4396224595","https://openalex.org/W4396769666","https://openalex.org/W4396909412","https://openalex.org/W4398224439","https://openalex.org/W6630802912"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W4402327032"],"abstract_inverted_index":{"In":[0,87],"the":[1,7,24,27,32,41,44,51,63,68,76,80,90,99,124,128,133,157,163],"work,":[2],"a":[3,138,147],"mathematical":[4],"model":[5],"of":[6,26,29,34,56,82,92,101,130,136,149,159],"heterodiffusion":[8],"process":[9],"using":[10,131],"by":[11,23,117,132],"fractional":[12,45,77],"time":[13,46,109],"derivatives":[14,78],"are":[15],"constructed.":[16],"The":[17,111,152],"boundary":[18,93],"value":[19,94],"problem":[20],"is":[21,38,48,96,107,140],"solved":[22,116],"method":[25,135],"separation":[28],"variables":[30],"in":[31,79,104,127,156,162],"basis":[33],"orthogonal":[35],"Jacobi":[36,52],"polynomials":[37],"formulated.":[39],"At":[40,123],"same":[42,125],"time,":[43,126],"derivative":[47],"introduced":[49],"through":[50],"polynomials.":[53],"A":[54],"system":[55,113,148],"algebraic":[57,150],"equations":[58,103],"was":[59,85],"built":[60],"to":[61,74,98,142],"find":[62],"unknown":[64,144],"coefficients.":[65],"For":[66],"this":[67,88],"theorem":[69],"which":[70,105],"makes":[71],"it":[72],"possible":[73],"present":[75],"form":[81],"Fourier-Jacobi":[83],"series":[84],"proved.":[86],"case,":[89],"solution":[91,139],"problems":[95],"reduced":[97,141],"systems":[100],"differential":[102],"there":[106],"no":[108],"derivative.":[110],"resulting":[112],"can":[114],"be":[115],"both":[118],"analytical":[119],"and":[120],"spectral":[121,134],"methods.":[122],"case":[129],"finding":[137,143],"coefficients":[145],"from":[146],"equations.":[151],"results":[153],"were":[154],"obtained":[155],"study":[158],"heterodifusion":[160],"processes":[161],"layer.":[164]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
