{"id":"https://openalex.org/W291311606","doi":"https://doi.org/10.1007/978-3-319-09900-2_22","title":"Reconstruction of the Thermal Conductivity Coefficient in the Time Fractional Diffusion Equation","display_name":"Reconstruction of the Thermal Conductivity Coefficient in the Time Fractional Diffusion Equation","publication_year":2014,"publication_date":"2014-08-16","ids":{"openalex":"https://openalex.org/W291311606","doi":"https://doi.org/10.1007/978-3-319-09900-2_22","mag":"291311606"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-09900-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-09900-2_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"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 Electrical Engineering","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/A5049755880","display_name":"Rafa\u0142 Brociek","orcid":"https://orcid.org/0000-0002-7255-6951"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Rafa\u0142 Brociek","raw_affiliation_strings":["Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland","institution_ids":["https://openalex.org/I119004910","https://openalex.org/I4210137370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003107192","display_name":"Damian S\u0142ota","orcid":"https://orcid.org/0000-0002-9265-5711"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Damian S\u0142ota","raw_affiliation_strings":["Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland","institution_ids":["https://openalex.org/I119004910","https://openalex.org/I4210137370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085308567","display_name":"Roman Witu\u0142a","orcid":"https://orcid.org/0000-0001-6503-5675"},"institutions":[{"id":"https://openalex.org/I119004910","display_name":"Silesian University of Technology","ror":"https://ror.org/02dyjk442","country_code":"PL","type":"education","lineage":["https://openalex.org/I119004910"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Roman Witu\u0142a","raw_affiliation_strings":["Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100, Gliwice, Poland","institution_ids":["https://openalex.org/I119004910","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049755880"],"corresponding_institution_ids":["https://openalex.org/I119004910","https://openalex.org/I4210137370"],"apc_list":null,"apc_paid":null,"fwci":4.7313,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.98319328,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"239","last_page":"247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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":0.9997000098228455,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9961000084877014,"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/thermal-conductivity","display_name":"Thermal conductivity","score":0.6878515481948853},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5624572038650513},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5606067180633545},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.5407872200012207},{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.5086970925331116},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4937454164028168},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.49182891845703125},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.483980655670166},{"id":"https://openalex.org/keywords/fibonacci-number","display_name":"Fibonacci number","score":0.4679364860057831},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.4666834771633148},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.43593788146972656},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.43481236696243286},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4189436733722687},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4164675176143646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40826064348220825},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2996220588684082},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2488023340702057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17363384366035461},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14816942811012268},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06241986155509949}],"concepts":[{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.6878515481948853},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5624572038650513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5606067180633545},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.5407872200012207},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.5086970925331116},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4937454164028168},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.49182891845703125},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.483980655670166},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.4679364860057831},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.4666834771633148},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.43593788146972656},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.43481236696243286},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4189436733722687},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4164675176143646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40826064348220825},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2996220588684082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2488023340702057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17363384366035461},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14816942811012268},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06241986155509949},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-09900-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-09900-2_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"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 Electrical Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1528987510","https://openalex.org/W1966258563","https://openalex.org/W1970573106","https://openalex.org/W1975467998","https://openalex.org/W1975670568","https://openalex.org/W1980161536","https://openalex.org/W2005715328","https://openalex.org/W2009426088","https://openalex.org/W2014418664","https://openalex.org/W2018427627","https://openalex.org/W2032783747","https://openalex.org/W2037577702","https://openalex.org/W2038522919","https://openalex.org/W2040338365","https://openalex.org/W2047466668","https://openalex.org/W2053571117","https://openalex.org/W2060796592","https://openalex.org/W2061388573","https://openalex.org/W2072750405","https://openalex.org/W2076246614","https://openalex.org/W2077472842","https://openalex.org/W2084961932","https://openalex.org/W2086401109","https://openalex.org/W2105784572","https://openalex.org/W2492966202","https://openalex.org/W2787959293","https://openalex.org/W4247953052"],"related_works":["https://openalex.org/W2389517732","https://openalex.org/W3099809193","https://openalex.org/W346881876","https://openalex.org/W2084108921","https://openalex.org/W281041820","https://openalex.org/W4388240777","https://openalex.org/W2607759403","https://openalex.org/W4212955925","https://openalex.org/W2106562951","https://openalex.org/W4308910509"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}